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Resonances of a 2d dumbbell

2.3. Resonances of a 2d dumbbell#

by M. Wess, 2024

This Notebook is part of the td_evp documentation on the implementation of time-domain methods for resonance problems in NGSolve.

Introduction#

This notebook is designed to present an implementation of the algorithm for solving resonance problems presented in

  • [NW24a] Lothar Nannen and Markus Wess. A krylov eigenvalue solver based on filtered time domain solutions. 2024. arXiv:2402.08515.

In particular, we solve the two dimensional problems from Section 3.1.

Implementation#

We start bei doing the necessary imports

from ngsolve import *
from ngsolve.webgui import Draw
from netgen.occ import *

import numpy as np
import scipy.linalg as spl
import matplotlib.pyplot as pl
import time as ti
%matplotlib notebook
from scipy.special import jn_zeros, jnjnp_zeros,jnp_zeros

The filtered operator#

class FilteredC(BaseMatrix):
    def __init__(self,mata,matm_inv,tau,weights,freedofs=None):
        super().__init__()
        self.dt = tau
        self.weights = weights
        self.nsteps = len(weights)
        
        self.mata = mata
        self.matm_inv = matm_inv
        
        self.freedofs=freedofs
        
        
        self.vecu = self.mata.CreateColVector()
        self.tmpvec1 = self.mata.CreateColVector()
        self.tmpvec2 = self.mata.CreateColVector()


    def CreateColVector(self):
        return self.mata.CreateColVector()
    
    def Shape(self):
        return self.mata.shape
    def CreateVector(self,col):
        return self.mata.CreateVector(col)
    
    def Mult(self,rhs,out):
        with TaskManager():
            self.vecu.data = rhs
            tau = self.dt
            out.data = tau*weights[0]*self.vecu
            t = 0
            
            unew = self.tmpvec1
            uold = self.tmpvec2
            uold.data = self.vecu
            
            with TaskManager():
                for i in range(1,self.nsteps):
                    t += tau       
                    print("\r time = {}, step = {}".format(t,i),end="")

                    unew.data = 2*self.vecu - uold 
                    unew.data -= tau**2 * self.matm_inv@self.mata * self.vecu
                    if self.freedofs:
                        unew.data[~self.freedofs] = 0.
                    uold.data = self.vecu
                    self.vecu.data = unew.data

                    out.data += tau*weights[i]*self.vecu

Geometry and mesh#

r_l = 1.5
r_r = 0.15
d = 0.03
w = 0.03


circ_left = Circle( (-r_l-w,0), r_l).Face()
circ_right = Circle( (r_r+w,0), r_r).Face()
handle = MoveTo(-r_l,-d).Rectangle(r_l+r_r,2*d).Face()

dumbbell = circ_left+handle+circ_right
geo = OCCGeometry(dumbbell,dim=2)
Draw(dumbbell);

maxh = 2*d
mesh = Mesh(geo.GenerateMesh(maxh = maxh))
mesh.Curve(2)
Draw(mesh);

order = 2
fes = H1LumpingFESpace(mesh,order=order)
print(fes.ndof)
u,v = fes.TnT()
mass = BilinearForm(u*v*dx(intrules=fes.GetIntegrationRules()),diagonal=True).Assemble().mat
stiffness = BilinearForm(grad(u)*grad(v)*dx).Assemble().mat
massinv = mass.Inverse()

14613

Determine time step by power iteration#

tol = 1e-4
tmpv = stiffness.CreateVector()
tmpv2 = stiffness.CreateVector()
tmpv.SetRandom()
tmpv /= tmpv.Norm()
mus = [1]
for i in range(500):
    #print("i = {}".format(i))
    tmpv2.data = tmpv
    tmpv.data = massinv@stiffness*tmpv2
    mu = InnerProduct(tmpv2,tmpv)/InnerProduct(tmpv2,tmpv2)
    tmpv /= tmpv.Norm()
    mus.append(mu)
    if mus[-1]/mus[-2]<1+tol:
        break
        
lammax = mus[-1]*(1+tol*200)
print("estimated largest eigenvalue: ",lammax)
tau = np.sqrt(4/lammax)
print("by power iteration stable for tau = {}".format(tau))

estimated largest eigenvalue:  49228.18216580044
by power iteration stable for tau = 0.009014115036549765

Define and plot filter function#

w_min = 0
w_max = 3

L = 200
endT = L*tau

weightf = lambda t: 4/np.pi*np.cos((w_max+w_min)/2*t)*(w_max-w_min)/2*np.sinc((w_max-w_min)/2*t/np.pi)

weights = weightf(tau*np.arange(L))


def beta(omega):
    if np.isscalar(omega):
        q = 1
    else:
        q = np.ones(omega.shape)
    
    q_old = q
    out = tau*weights[0]*q
    for alpha in weights[1:]:
        q_new = 2*q-tau**2*omega**2*q-q_old
        q_old = q
        q = q_new
        out += tau*alpha*q
    return out

omegas = np.arange(0,20,0.01)

betas = beta(omegas)
pl.plot(omegas,betas);

It remains to start the Krylov loop#

maxsteps = 25


C = FilteredC(stiffness,massinv,tau,weights)

now = ti.time()


errsmin = []
resmin = []

tol = 1e-6
solveevery = 1

tmpvec = mass.CreateVector()
vecs = MultiVector(tmpvec,0)

tmpvec.SetRandom()
tmpvec.data = 1/tmpvec.Norm()*tmpvec

vecs.Append(tmpvec)


pl.figure()
pl.plot(omegas,betas);
pl.xlim((0,10))
for i in range(maxsteps):
    print("\n Krylowstep = {}".format(i))

    tmpvec.data = C*vecs[-1]
    vecs.AppendOrthogonalize(tmpvec)
    
    if i%solveevery == 0:
        tvecs = MultiVector(tmpvec,len(vecs))
        tvecs.data = stiffness*vecs
        tvecs2 = MultiVector(tmpvec,len(vecs))
        tvecs2.data = mass*vecs

        matm_proj = InnerProduct(tvecs2,vecs)
        mats_proj = InnerProduct(tvecs,vecs)
        lam,v = spl.eigh(mats_proj.NumPy(),matm_proj.NumPy())

        lam = np.sqrt(np.abs(lam))
        for li in lam:
            pl.plot(li.real,1/maxsteps*i,'xr')
        

 Krylowstep = 0

 time = 0.009014115036549765, step = 1
 time = 0.01802823007309953, step = 2
 time = 0.027042345109649292, step = 3
 time = 0.03605646014619906, step = 4
 time = 0.045070575182748825, step = 5
 time = 0.05408469021929859, step = 6
 time = 0.06309880525584835, step = 7
 time = 0.07211292029239812, step = 8
 time = 0.08112703532894788, step = 9
 time = 0.09014115036549765, step = 10
 time = 0.09915526540204742, step = 11
 time = 0.10816938043859718, step = 12
 time = 0.11718349547514695, step = 13
 time = 0.1261976105116967, step = 14
 time = 0.13521172554824645, step = 15
 time = 0.1442258405847962, step = 16
 time = 0.15323995562134596, step = 17
 time = 0.1622540706578957, step = 18
 time = 0.17126818569444546, step = 19
 time = 0.18028230073099522, step = 20
 time = 0.18929641576754497, step = 21
 time = 0.19831053080409472, step = 22
 time = 0.20732464584064447, step = 23
 time = 0.21633876087719422, step = 24

 time = 0.22535287591374398, step = 25
 time = 0.23436699095029373, step = 26
 time = 0.24338110598684348, step = 27
 time = 0.25239522102339323, step = 28
 time = 0.261409336059943, step = 29

 time = 0.27042345109649274, step = 30
 time = 0.2794375661330425, step = 31
 time = 0.28845168116959224, step = 32
 time = 0.297465796206142, step = 33
 time = 0.30647991124269175, step = 34
 time = 0.3154940262792415, step = 35
 time = 0.32450814131579125, step = 36
 time = 0.333522256352341, step = 37
 time = 0.34253637138889076, step = 38
 time = 0.3515504864254405, step = 39
 time = 0.36056460146199026, step = 40
 time = 0.36957871649854, step = 41
 time = 0.37859283153508977, step = 42
 time = 0.3876069465716395, step = 43

 time = 0.3966210616081893, step = 44
 time = 0.405635176644739, step = 45
 time = 0.4146492916812888, step = 46
 time = 0.42366340671783853, step = 47
 time = 0.4326775217543883, step = 48
 time = 0.44169163679093804, step = 49
 time = 0.4507057518274878, step = 50
 time = 0.45971986686403754, step = 51
 time = 0.4687339819005873, step = 52
 time = 0.47774809693713705, step = 53
 time = 0.4867622119736868, step = 54
 time = 0.49577632701023655, step = 55
 time = 0.5047904420467864, step = 56
 time = 0.5138045570833362, step = 57
 time = 0.522818672119886, step = 58
 time = 0.5318327871564358, step = 59
 time = 0.5408469021929856, step = 60
 time = 0.5498610172295354, step = 61
 time = 0.5588751322660852, step = 62
 time = 0.567889247302635, step = 63
 time = 0.5769033623391848, step = 64
 time = 0.5859174773757346, step = 65

 time = 0.5949315924122844, step = 66
 time = 0.6039457074488342, step = 67
 time = 0.612959822485384, step = 68
 time = 0.6219739375219339, step = 69
 time = 0.6309880525584837, step = 70

 time = 0.6400021675950335, step = 71
 time = 0.6490162826315833, step = 72
 time = 0.6580303976681331, step = 73
 time = 0.6670445127046829, step = 74
 time = 0.6760586277412327, step = 75
 time = 0.6850727427777825, step = 76
 time = 0.6940868578143323, step = 77
 time = 0.7031009728508821, step = 78
 time = 0.7121150878874319, step = 79
 time = 0.7211292029239817, step = 80
 time = 0.7301433179605316, step = 81
 time = 0.7391574329970814, step = 82
 time = 0.7481715480336312, step = 83
 time = 0.757185663070181, step = 84
 time = 0.7661997781067308, step = 85

 time = 0.7752138931432806, step = 86
 time = 0.7842280081798304, step = 87
 time = 0.7932421232163802, step = 88
 time = 0.80225623825293, step = 89
 time = 0.8112703532894798, step = 90
 time = 0.8202844683260296, step = 91
 time = 0.8292985833625794, step = 92
 time = 0.8383126983991293, step = 93
 time = 0.8473268134356791, step = 94
 time = 0.8563409284722289, step = 95
 time = 0.8653550435087787, step = 96
 time = 0.8743691585453285, step = 97
 time = 0.8833832735818783, step = 98
 time = 0.8923973886184281, step = 99
 time = 0.9014115036549779, step = 100
 time = 0.9104256186915277, step = 101
 time = 0.9194397337280775, step = 102
 time = 0.9284538487646273, step = 103
 time = 0.9374679638011771, step = 104
 time = 0.946482078837727, step = 105
 time = 0.9554961938742768, step = 106
 time = 0.9645103089108266, step = 107
 time = 0.9735244239473764, step = 108
 time = 0.9825385389839262, step = 109

 time = 0.991552654020476, step = 110
 time = 1.0005667690570257, step = 111
 time = 1.0095808840935754, step = 112
 time = 1.018594999130125, step = 113
 time = 1.0276091141666748, step = 114

 time = 1.0366232292032245, step = 115
 time = 1.0456373442397742, step = 116
 time = 1.0546514592763239, step = 117
 time = 1.0636655743128736, step = 118
 time = 1.0726796893494233, step = 119
 time = 1.081693804385973, step = 120
 time = 1.0907079194225227, step = 121
 time = 1.0997220344590724, step = 122
 time = 1.108736149495622, step = 123
 time = 1.1177502645321717, step = 124
 time = 1.1267643795687214, step = 125
 time = 1.1357784946052711, step = 126
 time = 1.1447926096418208, step = 127

 time = 1.1538067246783705, step = 128
 time = 1.1628208397149202, step = 129
 time = 1.17183495475147, step = 130
 time = 1.1808490697880196, step = 131
 time = 1.1898631848245693, step = 132
 time = 1.198877299861119, step = 133
 time = 1.2078914148976687, step = 134
 time = 1.2169055299342184, step = 135
 time = 1.225919644970768, step = 136
 time = 1.2349337600073178, step = 137
 time = 1.2439478750438675, step = 138
 time = 1.2529619900804172, step = 139
 time = 1.261976105116967, step = 140
 time = 1.2709902201535166, step = 141
 time = 1.2800043351900663, step = 142
 time = 1.289018450226616, step = 143
 time = 1.2980325652631657, step = 144
 time = 1.3070466802997154, step = 145
 time = 1.316060795336265, step = 146
 time = 1.3250749103728148, step = 147
 time = 1.3340890254093645, step = 148
 time = 1.3431031404459142, step = 149

 time = 1.3521172554824639, step = 150
 time = 1.3611313705190136, step = 151
 time = 1.3701454855555633, step = 152
 time = 1.379159600592113, step = 153

 time = 1.3881737156286627, step = 154
 time = 1.3971878306652123, step = 155
 time = 1.406201945701762, step = 156
 time = 1.4152160607383117, step = 157
 time = 1.4242301757748614, step = 158
 time = 1.4332442908114111, step = 159
 time = 1.4422584058479608, step = 160
 time = 1.4512725208845105, step = 161
 time = 1.4602866359210602, step = 162
 time = 1.46930075095761, step = 163
 time = 1.4783148659941596, step = 164
 time = 1.4873289810307093, step = 165
 time = 1.496343096067259, step = 166
 time = 1.5053572111038087, step = 167

 time = 1.5143713261403584, step = 168
 time = 1.523385441176908, step = 169
 time = 1.5323995562134578, step = 170
 time = 1.5414136712500075, step = 171
 time = 1.5504277862865572, step = 172
 time = 1.559441901323107, step = 173
 time = 1.5684560163596566, step = 174
 time = 1.5774701313962063, step = 175
 time = 1.586484246432756, step = 176
 time = 1.5954983614693057, step = 177
 time = 1.6045124765058554, step = 178
 time = 1.613526591542405, step = 179
 time = 1.6225407065789548, step = 180
 time = 1.6315548216155045, step = 181
 time = 1.6405689366520542, step = 182
 time = 1.6495830516886039, step = 183
 time = 1.6585971667251536, step = 184
 time = 1.6676112817617033, step = 185
 time = 1.676625396798253, step = 186
 time = 1.6856395118348027, step = 187
 time = 1.6946536268713523, step = 188
 time = 1.703667741907902, step = 189
 time = 1.7126818569444517, step = 190
 time = 1.7216959719810014, step = 191
 time = 1.7307100870175511, step = 192
 time = 1.7397242020541008, step = 193
 time = 1.7487383170906505, step = 194

 time = 1.7577524321272002, step = 195
 time = 1.76676654716375, step = 196

 time = 1.7757806622002996, step = 197
 time = 1.7847947772368493, step = 198
 time = 1.793808892273399, step = 199
 Krylowstep = 1

 time = 0.009014115036549765, step = 1
 time = 0.01802823007309953, step = 2
 time = 0.027042345109649292, step = 3
 time = 0.03605646014619906, step = 4
 time = 0.045070575182748825, step = 5
 time = 0.05408469021929859, step = 6
 time = 0.06309880525584835, step = 7
 time = 0.07211292029239812, step = 8

 time = 0.08112703532894788, step = 9
 time = 0.09014115036549765, step = 10
 time = 0.09915526540204742, step = 11
 time = 0.10816938043859718, step = 12
 time = 0.11718349547514695, step = 13
 time = 0.1261976105116967, step = 14
 time = 0.13521172554824645, step = 15
 time = 0.1442258405847962, step = 16
 time = 0.15323995562134596, step = 17
 time = 0.1622540706578957, step = 18
 time = 0.17126818569444546, step = 19
 time = 0.18028230073099522, step = 20
 time = 0.18929641576754497, step = 21
 time = 0.19831053080409472, step = 22
 time = 0.20732464584064447, step = 23
 time = 0.21633876087719422, step = 24
 time = 0.22535287591374398, step = 25
 time = 0.23436699095029373, step = 26
 time = 0.24338110598684348, step = 27
 time = 0.25239522102339323, step = 28
 time = 0.261409336059943, step = 29
 time = 0.27042345109649274, step = 30
 time = 0.2794375661330425, step = 31
 time = 0.28845168116959224, step = 32
 time = 0.297465796206142, step = 33
 time = 0.30647991124269175, step = 34

 time = 0.3154940262792415, step = 35
 time = 0.32450814131579125, step = 36

 time = 0.333522256352341, step = 37
 time = 0.34253637138889076, step = 38
 time = 0.3515504864254405, step = 39
 time = 0.36056460146199026, step = 40
 time = 0.36957871649854, step = 41
 time = 0.37859283153508977, step = 42
 time = 0.3876069465716395, step = 43
 time = 0.3966210616081893, step = 44
 time = 0.405635176644739, step = 45
 time = 0.4146492916812888, step = 46
 time = 0.42366340671783853, step = 47
 time = 0.4326775217543883, step = 48
 time = 0.44169163679093804, step = 49
 time = 0.4507057518274878, step = 50

 time = 0.45971986686403754, step = 51
 time = 0.4687339819005873, step = 52
 time = 0.47774809693713705, step = 53
 time = 0.4867622119736868, step = 54
 time = 0.49577632701023655, step = 55
 time = 0.5047904420467864, step = 56
 time = 0.5138045570833362, step = 57
 time = 0.522818672119886, step = 58
 time = 0.5318327871564358, step = 59
 time = 0.5408469021929856, step = 60
 time = 0.5498610172295354, step = 61
 time = 0.5588751322660852, step = 62
 time = 0.567889247302635, step = 63
 time = 0.5769033623391848, step = 64
 time = 0.5859174773757346, step = 65
 time = 0.5949315924122844, step = 66
 time = 0.6039457074488342, step = 67
 time = 0.612959822485384, step = 68
 time = 0.6219739375219339, step = 69
 time = 0.6309880525584837, step = 70
 time = 0.6400021675950335, step = 71
 time = 0.6490162826315833, step = 72
 time = 0.6580303976681331, step = 73
 time = 0.6670445127046829, step = 74
 time = 0.6760586277412327, step = 75
 time = 0.6850727427777825, step = 76
 time = 0.6940868578143323, step = 77
 time = 0.7031009728508821, step = 78

 time = 0.7121150878874319, step = 79

 time = 0.7211292029239817, step = 80
 time = 0.7301433179605316, step = 81
 time = 0.7391574329970814, step = 82
 time = 0.7481715480336312, step = 83
 time = 0.757185663070181, step = 84
 time = 0.7661997781067308, step = 85
 time = 0.7752138931432806, step = 86
 time = 0.7842280081798304, step = 87
 time = 0.7932421232163802, step = 88
 time = 0.80225623825293, step = 89
 time = 0.8112703532894798, step = 90
 time = 0.8202844683260296, step = 91
 time = 0.8292985833625794, step = 92

 time = 0.8383126983991293, step = 93
 time = 0.8473268134356791, step = 94
 time = 0.8563409284722289, step = 95
 time = 0.8653550435087787, step = 96
 time = 0.8743691585453285, step = 97
 time = 0.8833832735818783, step = 98
 time = 0.8923973886184281, step = 99
 time = 0.9014115036549779, step = 100
 time = 0.9104256186915277, step = 101
 time = 0.9194397337280775, step = 102
 time = 0.9284538487646273, step = 103
 time = 0.9374679638011771, step = 104
 time = 0.946482078837727, step = 105
 time = 0.9554961938742768, step = 106
 time = 0.9645103089108266, step = 107
 time = 0.9735244239473764, step = 108
 time = 0.9825385389839262, step = 109
 time = 0.991552654020476, step = 110
 time = 1.0005667690570257, step = 111
 time = 1.0095808840935754, step = 112
 time = 1.018594999130125, step = 113
 time = 1.0276091141666748, step = 114
 time = 1.0366232292032245, step = 115
 time = 1.0456373442397742, step = 116
 time = 1.0546514592763239, step = 117
 time = 1.0636655743128736, step = 118
 time = 1.0726796893494233, step = 119
 time = 1.081693804385973, step = 120

 time = 1.0907079194225227, step = 121

 time = 1.0997220344590724, step = 122
 time = 1.108736149495622, step = 123
 time = 1.1177502645321717, step = 124
 time = 1.1267643795687214, step = 125
 time = 1.1357784946052711, step = 126
 time = 1.1447926096418208, step = 127
 time = 1.1538067246783705, step = 128
 time = 1.1628208397149202, step = 129
 time = 1.17183495475147, step = 130
 time = 1.1808490697880196, step = 131
 time = 1.1898631848245693, step = 132
 time = 1.198877299861119, step = 133
 time = 1.2078914148976687, step = 134
 time = 1.2169055299342184, step = 135
 time = 1.225919644970768, step = 136

 time = 1.2349337600073178, step = 137
 time = 1.2439478750438675, step = 138
 time = 1.2529619900804172, step = 139
 time = 1.261976105116967, step = 140
 time = 1.2709902201535166, step = 141
 time = 1.2800043351900663, step = 142
 time = 1.289018450226616, step = 143
 time = 1.2980325652631657, step = 144
 time = 1.3070466802997154, step = 145
 time = 1.316060795336265, step = 146
 time = 1.3250749103728148, step = 147
 time = 1.3340890254093645, step = 148
 time = 1.3431031404459142, step = 149
 time = 1.3521172554824639, step = 150
 time = 1.3611313705190136, step = 151
 time = 1.3701454855555633, step = 152
 time = 1.379159600592113, step = 153
 time = 1.3881737156286627, step = 154
 time = 1.3971878306652123, step = 155
 time = 1.406201945701762, step = 156
 time = 1.4152160607383117, step = 157
 time = 1.4242301757748614, step = 158
 time = 1.4332442908114111, step = 159
 time = 1.4422584058479608, step = 160
 time = 1.4512725208845105, step = 161
 time = 1.4602866359210602, step = 162

 time = 1.46930075095761, step = 163

 time = 1.4783148659941596, step = 164
 time = 1.4873289810307093, step = 165
 time = 1.496343096067259, step = 166
 time = 1.5053572111038087, step = 167
 time = 1.5143713261403584, step = 168
 time = 1.523385441176908, step = 169
 time = 1.5323995562134578, step = 170
 time = 1.5414136712500075, step = 171
 time = 1.5504277862865572, step = 172
 time = 1.559441901323107, step = 173
 time = 1.5684560163596566, step = 174
 time = 1.5774701313962063, step = 175
 time = 1.586484246432756, step = 176
 time = 1.5954983614693057, step = 177

 time = 1.6045124765058554, step = 178
 time = 1.613526591542405, step = 179
 time = 1.6225407065789548, step = 180
 time = 1.6315548216155045, step = 181
 time = 1.6405689366520542, step = 182
 time = 1.6495830516886039, step = 183
 time = 1.6585971667251536, step = 184
 time = 1.6676112817617033, step = 185
 time = 1.676625396798253, step = 186
 time = 1.6856395118348027, step = 187
 time = 1.6946536268713523, step = 188
 time = 1.703667741907902, step = 189
 time = 1.7126818569444517, step = 190
 time = 1.7216959719810014, step = 191
 time = 1.7307100870175511, step = 192
 time = 1.7397242020541008, step = 193
 time = 1.7487383170906505, step = 194
 time = 1.7577524321272002, step = 195
 time = 1.76676654716375, step = 196
 time = 1.7757806622002996, step = 197
 time = 1.7847947772368493, step = 198
 time = 1.793808892273399, step = 199
 Krylowstep = 2

 time = 0.009014115036549765, step = 1
 time = 0.01802823007309953, step = 2
 time = 0.027042345109649292, step = 3
 time = 0.03605646014619906, step = 4

 time = 0.045070575182748825, step = 5

 time = 0.05408469021929859, step = 6
 time = 0.06309880525584835, step = 7
 time = 0.07211292029239812, step = 8
 time = 0.08112703532894788, step = 9
 time = 0.09014115036549765, step = 10
 time = 0.09915526540204742, step = 11
 time = 0.10816938043859718, step = 12
 time = 0.11718349547514695, step = 13
 time = 0.1261976105116967, step = 14
 time = 0.13521172554824645, step = 15
 time = 0.1442258405847962, step = 16
 time = 0.15323995562134596, step = 17
 time = 0.1622540706578957, step = 18
 time = 0.17126818569444546, step = 19

 time = 0.18028230073099522, step = 20
 time = 0.18929641576754497, step = 21
 time = 0.19831053080409472, step = 22
 time = 0.20732464584064447, step = 23
 time = 0.21633876087719422, step = 24
 time = 0.22535287591374398, step = 25
 time = 0.23436699095029373, step = 26
 time = 0.24338110598684348, step = 27
 time = 0.25239522102339323, step = 28
 time = 0.261409336059943, step = 29
 time = 0.27042345109649274, step = 30
 time = 0.2794375661330425, step = 31
 time = 0.28845168116959224, step = 32
 time = 0.297465796206142, step = 33
 time = 0.30647991124269175, step = 34
 time = 0.3154940262792415, step = 35
 time = 0.32450814131579125, step = 36
 time = 0.333522256352341, step = 37
 time = 0.34253637138889076, step = 38
 time = 0.3515504864254405, step = 39
 time = 0.36056460146199026, step = 40
 time = 0.36957871649854, step = 41
 time = 0.37859283153508977, step = 42
 time = 0.3876069465716395, step = 43
 time = 0.3966210616081893, step = 44
 time = 0.405635176644739, step = 45
 time = 0.4146492916812888, step = 46
 time = 0.42366340671783853, step = 47
 time = 0.4326775217543883, step = 48

 time = 0.44169163679093804, step = 49
 time = 0.4507057518274878, step = 50

 time = 0.45971986686403754, step = 51
 time = 0.4687339819005873, step = 52
 time = 0.47774809693713705, step = 53
 time = 0.4867622119736868, step = 54
 time = 0.49577632701023655, step = 55
 time = 0.5047904420467864, step = 56
 time = 0.5138045570833362, step = 57
 time = 0.522818672119886, step = 58
 time = 0.5318327871564358, step = 59
 time = 0.5408469021929856, step = 60
 time = 0.5498610172295354, step = 61
 time = 0.5588751322660852, step = 62
 time = 0.567889247302635, step = 63
 time = 0.5769033623391848, step = 64

 time = 0.5859174773757346, step = 65
 time = 0.5949315924122844, step = 66
 time = 0.6039457074488342, step = 67
 time = 0.612959822485384, step = 68
 time = 0.6219739375219339, step = 69
 time = 0.6309880525584837, step = 70
 time = 0.6400021675950335, step = 71
 time = 0.6490162826315833, step = 72
 time = 0.6580303976681331, step = 73
 time = 0.6670445127046829, step = 74
 time = 0.6760586277412327, step = 75
 time = 0.6850727427777825, step = 76
 time = 0.6940868578143323, step = 77
 time = 0.7031009728508821, step = 78
 time = 0.7121150878874319, step = 79
 time = 0.7211292029239817, step = 80
 time = 0.7301433179605316, step = 81
 time = 0.7391574329970814, step = 82
 time = 0.7481715480336312, step = 83
 time = 0.757185663070181, step = 84
 time = 0.7661997781067308, step = 85
 time = 0.7752138931432806, step = 86
 time = 0.7842280081798304, step = 87
 time = 0.7932421232163802, step = 88
 time = 0.80225623825293, step = 89
 time = 0.8112703532894798, step = 90

 time = 0.8202844683260296, step = 91
 time = 0.8292985833625794, step = 92

 time = 0.8383126983991293, step = 93
 time = 0.8473268134356791, step = 94
 time = 0.8563409284722289, step = 95
 time = 0.8653550435087787, step = 96
 time = 0.8743691585453285, step = 97
 time = 0.8833832735818783, step = 98
 time = 0.8923973886184281, step = 99
 time = 0.9014115036549779, step = 100
 time = 0.9104256186915277, step = 101
 time = 0.9194397337280775, step = 102
 time = 0.9284538487646273, step = 103
 time = 0.9374679638011771, step = 104
 time = 0.946482078837727, step = 105

 time = 0.9554961938742768, step = 106
 time = 0.9645103089108266, step = 107
 time = 0.9735244239473764, step = 108
 time = 0.9825385389839262, step = 109
 time = 0.991552654020476, step = 110
 time = 1.0005667690570257, step = 111
 time = 1.0095808840935754, step = 112
 time = 1.018594999130125, step = 113
 time = 1.0276091141666748, step = 114
 time = 1.0366232292032245, step = 115
 time = 1.0456373442397742, step = 116
 time = 1.0546514592763239, step = 117
 time = 1.0636655743128736, step = 118
 time = 1.0726796893494233, step = 119
 time = 1.081693804385973, step = 120
 time = 1.0907079194225227, step = 121
 time = 1.0997220344590724, step = 122
 time = 1.108736149495622, step = 123
 time = 1.1177502645321717, step = 124
 time = 1.1267643795687214, step = 125
 time = 1.1357784946052711, step = 126
 time = 1.1447926096418208, step = 127
 time = 1.1538067246783705, step = 128
 time = 1.1628208397149202, step = 129
 time = 1.17183495475147, step = 130
 time = 1.1808490697880196, step = 131
 time = 1.1898631848245693, step = 132
 time = 1.198877299861119, step = 133
 time = 1.2078914148976687, step = 134
 time = 1.2169055299342184, step = 135
 time = 1.225919644970768, step = 136

 time = 1.2349337600073178, step = 137
 time = 1.2439478750438675, step = 138

 time = 1.2529619900804172, step = 139
 time = 1.261976105116967, step = 140
 time = 1.2709902201535166, step = 141
 time = 1.2800043351900663, step = 142
 time = 1.289018450226616, step = 143
 time = 1.2980325652631657, step = 144
 time = 1.3070466802997154, step = 145
 time = 1.316060795336265, step = 146
 time = 1.3250749103728148, step = 147
 time = 1.3340890254093645, step = 148
 time = 1.3431031404459142, step = 149
 time = 1.3521172554824639, step = 150

 time = 1.3611313705190136, step = 151
 time = 1.3701454855555633, step = 152
 time = 1.379159600592113, step = 153
 time = 1.3881737156286627, step = 154
 time = 1.3971878306652123, step = 155
 time = 1.406201945701762, step = 156
 time = 1.4152160607383117, step = 157
 time = 1.4242301757748614, step = 158
 time = 1.4332442908114111, step = 159
 time = 1.4422584058479608, step = 160
 time = 1.4512725208845105, step = 161
 time = 1.4602866359210602, step = 162
 time = 1.46930075095761, step = 163
 time = 1.4783148659941596, step = 164
 time = 1.4873289810307093, step = 165
 time = 1.496343096067259, step = 166
 time = 1.5053572111038087, step = 167
 time = 1.5143713261403584, step = 168
 time = 1.523385441176908, step = 169
 time = 1.5323995562134578, step = 170
 time = 1.5414136712500075, step = 171
 time = 1.5504277862865572, step = 172
 time = 1.559441901323107, step = 173
 time = 1.5684560163596566, step = 174
 time = 1.5774701313962063, step = 175
 time = 1.586484246432756, step = 176

 time = 1.5954983614693057, step = 177
 time = 1.6045124765058554, step = 178
 time = 1.613526591542405, step = 179
 time = 1.6225407065789548, step = 180

 time = 1.6315548216155045, step = 181
 time = 1.6405689366520542, step = 182
 time = 1.6495830516886039, step = 183
 time = 1.6585971667251536, step = 184
 time = 1.6676112817617033, step = 185
 time = 1.676625396798253, step = 186
 time = 1.6856395118348027, step = 187
 time = 1.6946536268713523, step = 188
 time = 1.703667741907902, step = 189
 time = 1.7126818569444517, step = 190
 time = 1.7216959719810014, step = 191

 time = 1.7307100870175511, step = 192
 time = 1.7397242020541008, step = 193
 time = 1.7487383170906505, step = 194
 time = 1.7577524321272002, step = 195
 time = 1.76676654716375, step = 196
 time = 1.7757806622002996, step = 197
 time = 1.7847947772368493, step = 198
 time = 1.793808892273399, step = 199
 Krylowstep = 3

 time = 0.009014115036549765, step = 1
 time = 0.01802823007309953, step = 2
 time = 0.027042345109649292, step = 3
 time = 0.03605646014619906, step = 4
 time = 0.045070575182748825, step = 5
 time = 0.05408469021929859, step = 6
 time = 0.06309880525584835, step = 7
 time = 0.07211292029239812, step = 8
 time = 0.08112703532894788, step = 9
 time = 0.09014115036549765, step = 10
 time = 0.09915526540204742, step = 11
 time = 0.10816938043859718, step = 12
 time = 0.11718349547514695, step = 13
 time = 0.1261976105116967, step = 14
 time = 0.13521172554824645, step = 15
 time = 0.1442258405847962, step = 16
 time = 0.15323995562134596, step = 17
 time = 0.1622540706578957, step = 18

 time = 0.17126818569444546, step = 19
 time = 0.18028230073099522, step = 20
 time = 0.18929641576754497, step = 21

 time = 0.19831053080409472, step = 22
 time = 0.20732464584064447, step = 23
 time = 0.21633876087719422, step = 24
 time = 0.22535287591374398, step = 25
 time = 0.23436699095029373, step = 26
 time = 0.24338110598684348, step = 27
 time = 0.25239522102339323, step = 28
 time = 0.261409336059943, step = 29
 time = 0.27042345109649274, step = 30
 time = 0.2794375661330425, step = 31
 time = 0.28845168116959224, step = 32
 time = 0.297465796206142, step = 33

 time = 0.30647991124269175, step = 34
 time = 0.3154940262792415, step = 35
 time = 0.32450814131579125, step = 36
 time = 0.333522256352341, step = 37
 time = 0.34253637138889076, step = 38
 time = 0.3515504864254405, step = 39
 time = 0.36056460146199026, step = 40
 time = 0.36957871649854, step = 41
 time = 0.37859283153508977, step = 42
 time = 0.3876069465716395, step = 43
 time = 0.3966210616081893, step = 44
 time = 0.405635176644739, step = 45
 time = 0.4146492916812888, step = 46
 time = 0.42366340671783853, step = 47
 time = 0.4326775217543883, step = 48
 time = 0.44169163679093804, step = 49
 time = 0.4507057518274878, step = 50
 time = 0.45971986686403754, step = 51
 time = 0.4687339819005873, step = 52
 time = 0.47774809693713705, step = 53
 time = 0.4867622119736868, step = 54
 time = 0.49577632701023655, step = 55
 time = 0.5047904420467864, step = 56
 time = 0.5138045570833362, step = 57
 time = 0.522818672119886, step = 58

 time = 0.5318327871564358, step = 59
 time = 0.5408469021929856, step = 60
 time = 0.5498610172295354, step = 61

 time = 0.5588751322660852, step = 62
 time = 0.567889247302635, step = 63
 time = 0.5769033623391848, step = 64
 time = 0.5859174773757346, step = 65
 time = 0.5949315924122844, step = 66
 time = 0.6039457074488342, step = 67
 time = 0.612959822485384, step = 68
 time = 0.6219739375219339, step = 69
 time = 0.6309880525584837, step = 70
 time = 0.6400021675950335, step = 71
 time = 0.6490162826315833, step = 72

 time = 0.6580303976681331, step = 73
 time = 0.6670445127046829, step = 74
 time = 0.6760586277412327, step = 75
 time = 0.6850727427777825, step = 76
 time = 0.6940868578143323, step = 77
 time = 0.7031009728508821, step = 78
 time = 0.7121150878874319, step = 79
 time = 0.7211292029239817, step = 80
 time = 0.7301433179605316, step = 81
 time = 0.7391574329970814, step = 82
 time = 0.7481715480336312, step = 83
 time = 0.757185663070181, step = 84
 time = 0.7661997781067308, step = 85
 time = 0.7752138931432806, step = 86
 time = 0.7842280081798304, step = 87
 time = 0.7932421232163802, step = 88
 time = 0.80225623825293, step = 89
 time = 0.8112703532894798, step = 90
 time = 0.8202844683260296, step = 91
 time = 0.8292985833625794, step = 92
 time = 0.8383126983991293, step = 93
 time = 0.8473268134356791, step = 94
 time = 0.8563409284722289, step = 95
 time = 0.8653550435087787, step = 96
 time = 0.8743691585453285, step = 97
 time = 0.8833832735818783, step = 98
 time = 0.8923973886184281, step = 99

 time = 0.9014115036549779, step = 100
 time = 0.9104256186915277, step = 101
 time = 0.9194397337280775, step = 102

 time = 0.9284538487646273, step = 103
 time = 0.9374679638011771, step = 104
 time = 0.946482078837727, step = 105
 time = 0.9554961938742768, step = 106
 time = 0.9645103089108266, step = 107
 time = 0.9735244239473764, step = 108
 time = 0.9825385389839262, step = 109
 time = 0.991552654020476, step = 110
 time = 1.0005667690570257, step = 111
 time = 1.0095808840935754, step = 112
 time = 1.018594999130125, step = 113

 time = 1.0276091141666748, step = 114
 time = 1.0366232292032245, step = 115
 time = 1.0456373442397742, step = 116
 time = 1.0546514592763239, step = 117
 time = 1.0636655743128736, step = 118
 time = 1.0726796893494233, step = 119
 time = 1.081693804385973, step = 120
 time = 1.0907079194225227, step = 121
 time = 1.0997220344590724, step = 122
 time = 1.108736149495622, step = 123
 time = 1.1177502645321717, step = 124
 time = 1.1267643795687214, step = 125
 time = 1.1357784946052711, step = 126
 time = 1.1447926096418208, step = 127
 time = 1.1538067246783705, step = 128
 time = 1.1628208397149202, step = 129
 time = 1.17183495475147, step = 130
 time = 1.1808490697880196, step = 131
 time = 1.1898631848245693, step = 132
 time = 1.198877299861119, step = 133
 time = 1.2078914148976687, step = 134
 time = 1.2169055299342184, step = 135
 time = 1.225919644970768, step = 136
 time = 1.2349337600073178, step = 137
 time = 1.2439478750438675, step = 138
 time = 1.2529619900804172, step = 139
 time = 1.261976105116967, step = 140

 time = 1.2709902201535166, step = 141
 time = 1.2800043351900663, step = 142
 time = 1.289018450226616, step = 143
 time = 1.2980325652631657, step = 144

 time = 1.3070466802997154, step = 145
 time = 1.316060795336265, step = 146
 time = 1.3250749103728148, step = 147
 time = 1.3340890254093645, step = 148
 time = 1.3431031404459142, step = 149
 time = 1.3521172554824639, step = 150
 time = 1.3611313705190136, step = 151
 time = 1.3701454855555633, step = 152
 time = 1.379159600592113, step = 153
 time = 1.3881737156286627, step = 154
 time = 1.3971878306652123, step = 155

 time = 1.406201945701762, step = 156
 time = 1.4152160607383117, step = 157
 time = 1.4242301757748614, step = 158
 time = 1.4332442908114111, step = 159
 time = 1.4422584058479608, step = 160
 time = 1.4512725208845105, step = 161
 time = 1.4602866359210602, step = 162
 time = 1.46930075095761, step = 163
 time = 1.4783148659941596, step = 164
 time = 1.4873289810307093, step = 165
 time = 1.496343096067259, step = 166
 time = 1.5053572111038087, step = 167
 time = 1.5143713261403584, step = 168
 time = 1.523385441176908, step = 169
 time = 1.5323995562134578, step = 170
 time = 1.5414136712500075, step = 171
 time = 1.5504277862865572, step = 172
 time = 1.559441901323107, step = 173
 time = 1.5684560163596566, step = 174
 time = 1.5774701313962063, step = 175
 time = 1.586484246432756, step = 176
 time = 1.5954983614693057, step = 177
 time = 1.6045124765058554, step = 178
 time = 1.613526591542405, step = 179
 time = 1.6225407065789548, step = 180
 time = 1.6315548216155045, step = 181
 time = 1.6405689366520542, step = 182

 time = 1.6495830516886039, step = 183
 time = 1.6585971667251536, step = 184
 time = 1.6676112817617033, step = 185
 time = 1.676625396798253, step = 186

 time = 1.6856395118348027, step = 187
 time = 1.6946536268713523, step = 188
 time = 1.703667741907902, step = 189
 time = 1.7126818569444517, step = 190
 time = 1.7216959719810014, step = 191
 time = 1.7307100870175511, step = 192
 time = 1.7397242020541008, step = 193
 time = 1.7487383170906505, step = 194
 time = 1.7577524321272002, step = 195
 time = 1.76676654716375, step = 196
 time = 1.7757806622002996, step = 197
 time = 1.7847947772368493, step = 198
 time = 1.793808892273399, step = 199

 Krylowstep = 4

 time = 0.009014115036549765, step = 1
 time = 0.01802823007309953, step = 2
 time = 0.027042345109649292, step = 3
 time = 0.03605646014619906, step = 4
 time = 0.045070575182748825, step = 5
 time = 0.05408469021929859, step = 6
 time = 0.06309880525584835, step = 7
 time = 0.07211292029239812, step = 8
 time = 0.08112703532894788, step = 9
 time = 0.09014115036549765, step = 10
 time = 0.09915526540204742, step = 11
 time = 0.10816938043859718, step = 12
 time = 0.11718349547514695, step = 13
 time = 0.1261976105116967, step = 14
 time = 0.13521172554824645, step = 15
 time = 0.1442258405847962, step = 16
 time = 0.15323995562134596, step = 17
 time = 0.1622540706578957, step = 18
 time = 0.17126818569444546, step = 19
 time = 0.18028230073099522, step = 20
 time = 0.18929641576754497, step = 21
 time = 0.19831053080409472, step = 22
 time = 0.20732464584064447, step = 23
 time = 0.21633876087719422, step = 24
 time = 0.22535287591374398, step = 25

 time = 0.23436699095029373, step = 26
 time = 0.24338110598684348, step = 27
 time = 0.25239522102339323, step = 28
 time = 0.261409336059943, step = 29

 time = 0.27042345109649274, step = 30
 time = 0.2794375661330425, step = 31
 time = 0.28845168116959224, step = 32
 time = 0.297465796206142, step = 33
 time = 0.30647991124269175, step = 34
 time = 0.3154940262792415, step = 35
 time = 0.32450814131579125, step = 36
 time = 0.333522256352341, step = 37
 time = 0.34253637138889076, step = 38
 time = 0.3515504864254405, step = 39
 time = 0.36056460146199026, step = 40
 time = 0.36957871649854, step = 41

 time = 0.37859283153508977, step = 42
 time = 0.3876069465716395, step = 43
 time = 0.3966210616081893, step = 44
 time = 0.405635176644739, step = 45
 time = 0.4146492916812888, step = 46
 time = 0.42366340671783853, step = 47
 time = 0.4326775217543883, step = 48
 time = 0.44169163679093804, step = 49
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 time = 1.081693804385973, step = 120
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 time = 1.4422584058479608, step = 160
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 time = 1.5684560163596566, step = 174
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 time = 1.793808892273399, step = 199
 Krylowstep = 5

 time = 0.009014115036549765, step = 1
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 time = 0.027042345109649292, step = 3
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 time = 0.3966210616081893, step = 44
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 time = 0.4507057518274878, step = 50
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 time = 0.80225623825293, step = 89
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 time = 1.261976105116967, step = 140
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 time = 1.3701454855555633, step = 152

 time = 1.379159600592113, step = 153
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 time = 1.6045124765058554, step = 178
 time = 1.613526591542405, step = 179
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 time = 1.6315548216155045, step = 181

 time = 1.6405689366520542, step = 182
 time = 1.6495830516886039, step = 183
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 time = 1.7216959719810014, step = 191

 time = 1.7307100870175511, step = 192
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 time = 1.7757806622002996, step = 197
 time = 1.7847947772368493, step = 198
 time = 1.793808892273399, step = 199
 Krylowstep = 6

 time = 0.009014115036549765, step = 1
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 time = 0.1442258405847962, step = 16
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 time = 0.5498610172295354, step = 61
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 time = 1.0546514592763239, step = 117

 time = 1.0636655743128736, step = 118
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 time = 1.198877299861119, step = 133
 time = 1.2078914148976687, step = 134
 time = 1.2169055299342184, step = 135
 time = 1.225919644970768, step = 136
 time = 1.2349337600073178, step = 137
 time = 1.2439478750438675, step = 138
 time = 1.2529619900804172, step = 139
 time = 1.261976105116967, step = 140
 time = 1.2709902201535166, step = 141
 time = 1.2800043351900663, step = 142
 time = 1.289018450226616, step = 143
 time = 1.2980325652631657, step = 144

 time = 1.3070466802997154, step = 145

 time = 1.316060795336265, step = 146
 time = 1.3250749103728148, step = 147
 time = 1.3340890254093645, step = 148
 time = 1.3431031404459142, step = 149
 time = 1.3521172554824639, step = 150
 time = 1.3611313705190136, step = 151
 time = 1.3701454855555633, step = 152
 time = 1.379159600592113, step = 153
 time = 1.3881737156286627, step = 154
 time = 1.3971878306652123, step = 155
 time = 1.406201945701762, step = 156
 time = 1.4152160607383117, step = 157
 time = 1.4242301757748614, step = 158
 time = 1.4332442908114111, step = 159

 time = 1.4422584058479608, step = 160
 time = 1.4512725208845105, step = 161
 time = 1.4602866359210602, step = 162
 time = 1.46930075095761, step = 163
 time = 1.4783148659941596, step = 164
 time = 1.4873289810307093, step = 165
 time = 1.496343096067259, step = 166
 time = 1.5053572111038087, step = 167
 time = 1.5143713261403584, step = 168
 time = 1.523385441176908, step = 169
 time = 1.5323995562134578, step = 170
 time = 1.5414136712500075, step = 171
 time = 1.5504277862865572, step = 172
 time = 1.559441901323107, step = 173
 time = 1.5684560163596566, step = 174
 time = 1.5774701313962063, step = 175
 time = 1.586484246432756, step = 176
 time = 1.5954983614693057, step = 177
 time = 1.6045124765058554, step = 178
 time = 1.613526591542405, step = 179
 time = 1.6225407065789548, step = 180
 time = 1.6315548216155045, step = 181
 time = 1.6405689366520542, step = 182
 time = 1.6495830516886039, step = 183
 time = 1.6585971667251536, step = 184
 time = 1.6676112817617033, step = 185

 time = 1.676625396798253, step = 186

 time = 1.6856395118348027, step = 187
 time = 1.6946536268713523, step = 188
 time = 1.703667741907902, step = 189
 time = 1.7126818569444517, step = 190
 time = 1.7216959719810014, step = 191
 time = 1.7307100870175511, step = 192
 time = 1.7397242020541008, step = 193
 time = 1.7487383170906505, step = 194
 time = 1.7577524321272002, step = 195
 time = 1.76676654716375, step = 196
 time = 1.7757806622002996, step = 197
 time = 1.7847947772368493, step = 198
 time = 1.793808892273399, step = 199

 Krylowstep = 7

 time = 0.009014115036549765, step = 1
 time = 0.01802823007309953, step = 2
 time = 0.027042345109649292, step = 3
 time = 0.03605646014619906, step = 4
 time = 0.045070575182748825, step = 5
 time = 0.05408469021929859, step = 6
 time = 0.06309880525584835, step = 7
 time = 0.07211292029239812, step = 8
 time = 0.08112703532894788, step = 9
 time = 0.09014115036549765, step = 10
 time = 0.09915526540204742, step = 11
 time = 0.10816938043859718, step = 12
 time = 0.11718349547514695, step = 13
 time = 0.1261976105116967, step = 14
 time = 0.13521172554824645, step = 15
 time = 0.1442258405847962, step = 16
 time = 0.15323995562134596, step = 17
 time = 0.1622540706578957, step = 18
 time = 0.17126818569444546, step = 19
 time = 0.18028230073099522, step = 20
 time = 0.18929641576754497, step = 21
 time = 0.19831053080409472, step = 22
 time = 0.20732464584064447, step = 23
 time = 0.21633876087719422, step = 24

 time = 0.22535287591374398, step = 25

 time = 0.23436699095029373, step = 26
 time = 0.24338110598684348, step = 27
 time = 0.25239522102339323, step = 28
 time = 0.261409336059943, step = 29
 time = 0.27042345109649274, step = 30
 time = 0.2794375661330425, step = 31
 time = 0.28845168116959224, step = 32
 time = 0.297465796206142, step = 33
 time = 0.30647991124269175, step = 34
 time = 0.3154940262792415, step = 35
 time = 0.32450814131579125, step = 36
 time = 0.333522256352341, step = 37
 time = 0.34253637138889076, step = 38
 time = 0.3515504864254405, step = 39

 time = 0.36056460146199026, step = 40
 time = 0.36957871649854, step = 41
 time = 0.37859283153508977, step = 42
 time = 0.3876069465716395, step = 43
 time = 0.3966210616081893, step = 44
 time = 0.405635176644739, step = 45
 time = 0.4146492916812888, step = 46
 time = 0.42366340671783853, step = 47
 time = 0.4326775217543883, step = 48
 time = 0.44169163679093804, step = 49
 time = 0.4507057518274878, step = 50
 time = 0.45971986686403754, step = 51
 time = 0.4687339819005873, step = 52
 time = 0.47774809693713705, step = 53
 time = 0.4867622119736868, step = 54
 time = 0.49577632701023655, step = 55
 time = 0.5047904420467864, step = 56
 time = 0.5138045570833362, step = 57
 time = 0.522818672119886, step = 58
 time = 0.5318327871564358, step = 59
 time = 0.5408469021929856, step = 60
 time = 0.5498610172295354, step = 61
 time = 0.5588751322660852, step = 62
 time = 0.567889247302635, step = 63
 time = 0.5769033623391848, step = 64

 time = 0.5859174773757346, step = 65

 time = 0.5949315924122844, step = 66
 time = 0.6039457074488342, step = 67
 time = 0.612959822485384, step = 68
 time = 0.6219739375219339, step = 69
 time = 0.6309880525584837, step = 70
 time = 0.6400021675950335, step = 71
 time = 0.6490162826315833, step = 72
 time = 0.6580303976681331, step = 73
 time = 0.6670445127046829, step = 74
 time = 0.6760586277412327, step = 75
 time = 0.6850727427777825, step = 76
 time = 0.6940868578143323, step = 77
 time = 0.7031009728508821, step = 78
 time = 0.7121150878874319, step = 79
 time = 0.7211292029239817, step = 80

 time = 0.7301433179605316, step = 81
 time = 0.7391574329970814, step = 82
 time = 0.7481715480336312, step = 83
 time = 0.757185663070181, step = 84
 time = 0.7661997781067308, step = 85
 time = 0.7752138931432806, step = 86
 time = 0.7842280081798304, step = 87
 time = 0.7932421232163802, step = 88
 time = 0.80225623825293, step = 89
 time = 0.8112703532894798, step = 90
 time = 0.8202844683260296, step = 91
 time = 0.8292985833625794, step = 92
 time = 0.8383126983991293, step = 93
 time = 0.8473268134356791, step = 94
 time = 0.8563409284722289, step = 95
 time = 0.8653550435087787, step = 96
 time = 0.8743691585453285, step = 97
 time = 0.8833832735818783, step = 98
 time = 0.8923973886184281, step = 99
 time = 0.9014115036549779, step = 100
 time = 0.9104256186915277, step = 101
 time = 0.9194397337280775, step = 102
 time = 0.9284538487646273, step = 103
 time = 0.9374679638011771, step = 104
 time = 0.946482078837727, step = 105
 time = 0.9554961938742768, step = 106
 time = 0.9645103089108266, step = 107

 time = 0.9735244239473764, step = 108

 time = 0.9825385389839262, step = 109
 time = 0.991552654020476, step = 110
 time = 1.0005667690570257, step = 111
 time = 1.0095808840935754, step = 112
 time = 1.018594999130125, step = 113
 time = 1.0276091141666748, step = 114
 time = 1.0366232292032245, step = 115
 time = 1.0456373442397742, step = 116
 time = 1.0546514592763239, step = 117
 time = 1.0636655743128736, step = 118
 time = 1.0726796893494233, step = 119
 time = 1.081693804385973, step = 120
 time = 1.0907079194225227, step = 121
 time = 1.0997220344590724, step = 122
 time = 1.108736149495622, step = 123
 time = 1.1177502645321717, step = 124

 time = 1.1267643795687214, step = 125
 time = 1.1357784946052711, step = 126
 time = 1.1447926096418208, step = 127
 time = 1.1538067246783705, step = 128
 time = 1.1628208397149202, step = 129
 time = 1.17183495475147, step = 130
 time = 1.1808490697880196, step = 131
 time = 1.1898631848245693, step = 132
 time = 1.198877299861119, step = 133
 time = 1.2078914148976687, step = 134
 time = 1.2169055299342184, step = 135
 time = 1.225919644970768, step = 136
 time = 1.2349337600073178, step = 137
 time = 1.2439478750438675, step = 138
 time = 1.2529619900804172, step = 139
 time = 1.261976105116967, step = 140
 time = 1.2709902201535166, step = 141
 time = 1.2800043351900663, step = 142
 time = 1.289018450226616, step = 143
 time = 1.2980325652631657, step = 144
 time = 1.3070466802997154, step = 145
 time = 1.316060795336265, step = 146
 time = 1.3250749103728148, step = 147
 time = 1.3340890254093645, step = 148
 time = 1.3431031404459142, step = 149
 time = 1.3521172554824639, step = 150
 time = 1.3611313705190136, step = 151

 time = 1.3701454855555633, step = 152

 time = 1.379159600592113, step = 153
 time = 1.3881737156286627, step = 154
 time = 1.3971878306652123, step = 155
 time = 1.406201945701762, step = 156
 time = 1.4152160607383117, step = 157
 time = 1.4242301757748614, step = 158
 time = 1.4332442908114111, step = 159
 time = 1.4422584058479608, step = 160
 time = 1.4512725208845105, step = 161
 time = 1.4602866359210602, step = 162
 time = 1.46930075095761, step = 163
 time = 1.4783148659941596, step = 164
 time = 1.4873289810307093, step = 165
 time = 1.496343096067259, step = 166
 time = 1.5053572111038087, step = 167
 time = 1.5143713261403584, step = 168

 time = 1.523385441176908, step = 169
 time = 1.5323995562134578, step = 170
 time = 1.5414136712500075, step = 171
 time = 1.5504277862865572, step = 172
 time = 1.559441901323107, step = 173
 time = 1.5684560163596566, step = 174
 time = 1.5774701313962063, step = 175
 time = 1.586484246432756, step = 176
 time = 1.5954983614693057, step = 177
 time = 1.6045124765058554, step = 178
 time = 1.613526591542405, step = 179
 time = 1.6225407065789548, step = 180
 time = 1.6315548216155045, step = 181
 time = 1.6405689366520542, step = 182
 time = 1.6495830516886039, step = 183
 time = 1.6585971667251536, step = 184
 time = 1.6676112817617033, step = 185
 time = 1.676625396798253, step = 186
 time = 1.6856395118348027, step = 187
 time = 1.6946536268713523, step = 188
 time = 1.703667741907902, step = 189
 time = 1.7126818569444517, step = 190
 time = 1.7216959719810014, step = 191
 time = 1.7307100870175511, step = 192
 time = 1.7397242020541008, step = 193
 time = 1.7487383170906505, step = 194

 time = 1.7577524321272002, step = 195
 time = 1.76676654716375, step = 196

 time = 1.7757806622002996, step = 197
 time = 1.7847947772368493, step = 198
 time = 1.793808892273399, step = 199
 Krylowstep = 8

 time = 0.009014115036549765, step = 1
 time = 0.01802823007309953, step = 2
 time = 0.027042345109649292, step = 3
 time = 0.03605646014619906, step = 4
 time = 0.045070575182748825, step = 5
 time = 0.05408469021929859, step = 6
 time = 0.06309880525584835, step = 7
 time = 0.07211292029239812, step = 8
 time = 0.08112703532894788, step = 9
 time = 0.09014115036549765, step = 10
 time = 0.09915526540204742, step = 11

 time = 0.10816938043859718, step = 12
 time = 0.11718349547514695, step = 13
 time = 0.1261976105116967, step = 14
 time = 0.13521172554824645, step = 15
 time = 0.1442258405847962, step = 16
 time = 0.15323995562134596, step = 17
 time = 0.1622540706578957, step = 18
 time = 0.17126818569444546, step = 19
 time = 0.18028230073099522, step = 20
 time = 0.18929641576754497, step = 21
 time = 0.19831053080409472, step = 22
 time = 0.20732464584064447, step = 23
 time = 0.21633876087719422, step = 24
 time = 0.22535287591374398, step = 25
 time = 0.23436699095029373, step = 26
 time = 0.24338110598684348, step = 27
 time = 0.25239522102339323, step = 28
 time = 0.261409336059943, step = 29
 time = 0.27042345109649274, step = 30
 time = 0.2794375661330425, step = 31
 time = 0.28845168116959224, step = 32
 time = 0.297465796206142, step = 33
 time = 0.30647991124269175, step = 34
 time = 0.3154940262792415, step = 35
 time = 0.32450814131579125, step = 36
 time = 0.333522256352341, step = 37
 time = 0.34253637138889076, step = 38
 time = 0.3515504864254405, step = 39

 time = 0.36056460146199026, step = 40
 time = 0.36957871649854, step = 41
 time = 0.37859283153508977, step = 42

 time = 0.3876069465716395, step = 43
 time = 0.3966210616081893, step = 44
 time = 0.405635176644739, step = 45
 time = 0.4146492916812888, step = 46
 time = 0.42366340671783853, step = 47
 time = 0.4326775217543883, step = 48
 time = 0.44169163679093804, step = 49
 time = 0.4507057518274878, step = 50
 time = 0.45971986686403754, step = 51
 time = 0.4687339819005873, step = 52
 time = 0.47774809693713705, step = 53
 time = 0.4867622119736868, step = 54
 time = 0.49577632701023655, step = 55
 time = 0.5047904420467864, step = 56
 time = 0.5138045570833362, step = 57
 time = 0.522818672119886, step = 58
 time = 0.5318327871564358, step = 59

 time = 0.5408469021929856, step = 60
 time = 0.5498610172295354, step = 61
 time = 0.5588751322660852, step = 62
 time = 0.567889247302635, step = 63
 time = 0.5769033623391848, step = 64
 time = 0.5859174773757346, step = 65
 time = 0.5949315924122844, step = 66
 time = 0.6039457074488342, step = 67
 time = 0.612959822485384, step = 68
 time = 0.6219739375219339, step = 69
 time = 0.6309880525584837, step = 70
 time = 0.6400021675950335, step = 71
 time = 0.6490162826315833, step = 72
 time = 0.6580303976681331, step = 73
 time = 0.6670445127046829, step = 74
 time = 0.6760586277412327, step = 75
 time = 0.6850727427777825, step = 76
 time = 0.6940868578143323, step = 77
 time = 0.7031009728508821, step = 78
 time = 0.7121150878874319, step = 79
 time = 0.7211292029239817, step = 80
 time = 0.7301433179605316, step = 81
 time = 0.7391574329970814, step = 82
 time = 0.7481715480336312, step = 83
 time = 0.757185663070181, step = 84
 time = 0.7661997781067308, step = 85
 time = 0.7752138931432806, step = 86
 time = 0.7842280081798304, step = 87

 time = 0.7932421232163802, step = 88
 time = 0.80225623825293, step = 89
 time = 0.8112703532894798, step = 90

 time = 0.8202844683260296, step = 91
 time = 0.8292985833625794, step = 92
 time = 0.8383126983991293, step = 93
 time = 0.8473268134356791, step = 94
 time = 0.8563409284722289, step = 95
 time = 0.8653550435087787, step = 96
 time = 0.8743691585453285, step = 97
 time = 0.8833832735818783, step = 98
 time = 0.8923973886184281, step = 99
 time = 0.9014115036549779, step = 100
 time = 0.9104256186915277, step = 101
 time = 0.9194397337280775, step = 102
 time = 0.9284538487646273, step = 103
 time = 0.9374679638011771, step = 104
 time = 0.946482078837727, step = 105
 time = 0.9554961938742768, step = 106

 time = 0.9645103089108266, step = 107
 time = 0.9735244239473764, step = 108
 time = 0.9825385389839262, step = 109
 time = 0.991552654020476, step = 110
 time = 1.0005667690570257, step = 111
 time = 1.0095808840935754, step = 112
 time = 1.018594999130125, step = 113
 time = 1.0276091141666748, step = 114
 time = 1.0366232292032245, step = 115
 time = 1.0456373442397742, step = 116
 time = 1.0546514592763239, step = 117
 time = 1.0636655743128736, step = 118
 time = 1.0726796893494233, step = 119
 time = 1.081693804385973, step = 120
 time = 1.0907079194225227, step = 121
 time = 1.0997220344590724, step = 122
 time = 1.108736149495622, step = 123
 time = 1.1177502645321717, step = 124
 time = 1.1267643795687214, step = 125
 time = 1.1357784946052711, step = 126
 time = 1.1447926096418208, step = 127
 time = 1.1538067246783705, step = 128
 time = 1.1628208397149202, step = 129
 time = 1.17183495475147, step = 130
 time = 1.1808490697880196, step = 131
 time = 1.1898631848245693, step = 132

 time = 1.198877299861119, step = 133
 time = 1.2078914148976687, step = 134
 time = 1.2169055299342184, step = 135
 time = 1.225919644970768, step = 136

 time = 1.2349337600073178, step = 137
 time = 1.2439478750438675, step = 138
 time = 1.2529619900804172, step = 139
 time = 1.261976105116967, step = 140
 time = 1.2709902201535166, step = 141
 time = 1.2800043351900663, step = 142
 time = 1.289018450226616, step = 143
 time = 1.2980325652631657, step = 144
 time = 1.3070466802997154, step = 145
 time = 1.316060795336265, step = 146
 time = 1.3250749103728148, step = 147
 time = 1.3340890254093645, step = 148
 time = 1.3431031404459142, step = 149
 time = 1.3521172554824639, step = 150
 time = 1.3611313705190136, step = 151
 time = 1.3701454855555633, step = 152
 time = 1.379159600592113, step = 153

 time = 1.3881737156286627, step = 154
 time = 1.3971878306652123, step = 155
 time = 1.406201945701762, step = 156
 time = 1.4152160607383117, step = 157
 time = 1.4242301757748614, step = 158
 time = 1.4332442908114111, step = 159
 time = 1.4422584058479608, step = 160
 time = 1.4512725208845105, step = 161
 time = 1.4602866359210602, step = 162
 time = 1.46930075095761, step = 163
 time = 1.4783148659941596, step = 164
 time = 1.4873289810307093, step = 165
 time = 1.496343096067259, step = 166
 time = 1.5053572111038087, step = 167
 time = 1.5143713261403584, step = 168
 time = 1.523385441176908, step = 169
 time = 1.5323995562134578, step = 170
 time = 1.5414136712500075, step = 171
 time = 1.5504277862865572, step = 172
 time = 1.559441901323107, step = 173
 time = 1.5684560163596566, step = 174
 time = 1.5774701313962063, step = 175
 time = 1.586484246432756, step = 176
 time = 1.5954983614693057, step = 177
 time = 1.6045124765058554, step = 178

 time = 1.613526591542405, step = 179
 time = 1.6225407065789548, step = 180
 time = 1.6315548216155045, step = 181
 time = 1.6405689366520542, step = 182

 time = 1.6495830516886039, step = 183
 time = 1.6585971667251536, step = 184
 time = 1.6676112817617033, step = 185
 time = 1.676625396798253, step = 186
 time = 1.6856395118348027, step = 187
 time = 1.6946536268713523, step = 188
 time = 1.703667741907902, step = 189
 time = 1.7126818569444517, step = 190
 time = 1.7216959719810014, step = 191
 time = 1.7307100870175511, step = 192
 time = 1.7397242020541008, step = 193
 time = 1.7487383170906505, step = 194
 time = 1.7577524321272002, step = 195
 time = 1.76676654716375, step = 196
 time = 1.7757806622002996, step = 197
 time = 1.7847947772368493, step = 198
 time = 1.793808892273399, step = 199

 Krylowstep = 9

 time = 0.009014115036549765, step = 1
 time = 0.01802823007309953, step = 2
 time = 0.027042345109649292, step = 3
 time = 0.03605646014619906, step = 4
 time = 0.045070575182748825, step = 5
 time = 0.05408469021929859, step = 6
 time = 0.06309880525584835, step = 7
 time = 0.07211292029239812, step = 8
 time = 0.08112703532894788, step = 9
 time = 0.09014115036549765, step = 10
 time = 0.09915526540204742, step = 11
 time = 0.10816938043859718, step = 12
 time = 0.11718349547514695, step = 13
 time = 0.1261976105116967, step = 14
 time = 0.13521172554824645, step = 15
 time = 0.1442258405847962, step = 16
 time = 0.15323995562134596, step = 17
 time = 0.1622540706578957, step = 18
 time = 0.17126818569444546, step = 19
 time = 0.18028230073099522, step = 20

 time = 0.18929641576754497, step = 21
 time = 0.19831053080409472, step = 22

 time = 0.20732464584064447, step = 23
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 time = 0.24338110598684348, step = 27
 time = 0.25239522102339323, step = 28
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 time = 0.27042345109649274, step = 30
 time = 0.2794375661330425, step = 31
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 time = 0.36056460146199026, step = 40
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 time = 0.37859283153508977, step = 42

 time = 0.3876069465716395, step = 43
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 time = 0.47774809693713705, step = 53
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 time = 0.6039457074488342, step = 67

 time = 0.612959822485384, step = 68
 time = 0.6219739375219339, step = 69

 time = 0.6309880525584837, step = 70
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 time = 0.757185663070181, step = 84
 time = 0.7661997781067308, step = 85
 time = 0.7752138931432806, step = 86
 time = 0.7842280081798304, step = 87

 time = 0.7932421232163802, step = 88
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 time = 0.9735244239473764, step = 108

 time = 0.9825385389839262, step = 109
 time = 0.991552654020476, step = 110
 time = 1.0005667690570257, step = 111

 time = 1.0095808840935754, step = 112
 time = 1.018594999130125, step = 113
 time = 1.0276091141666748, step = 114
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 time = 1.0546514592763239, step = 117
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 time = 1.1267643795687214, step = 125
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 time = 1.1447926096418208, step = 127

 time = 1.1538067246783705, step = 128
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 time = 1.316060795336265, step = 146
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 time = 1.3431031404459142, step = 149
 time = 1.3521172554824639, step = 150
 time = 1.3611313705190136, step = 151
 time = 1.3701454855555633, step = 152
 time = 1.379159600592113, step = 153

 time = 1.3881737156286627, step = 154
 time = 1.3971878306652123, step = 155

 time = 1.406201945701762, step = 156
 time = 1.4152160607383117, step = 157
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 time = 1.4332442908114111, step = 159
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 time = 1.4512725208845105, step = 161
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 time = 1.4783148659941596, step = 164
 time = 1.4873289810307093, step = 165
 time = 1.496343096067259, step = 166
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 time = 1.5414136712500075, step = 171
 time = 1.5504277862865572, step = 172
 time = 1.559441901323107, step = 173

 time = 1.5684560163596566, step = 174
 time = 1.5774701313962063, step = 175
 time = 1.586484246432756, step = 176
 time = 1.5954983614693057, step = 177
 time = 1.6045124765058554, step = 178
 time = 1.613526591542405, step = 179
 time = 1.6225407065789548, step = 180
 time = 1.6315548216155045, step = 181
 time = 1.6405689366520542, step = 182
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 time = 1.6676112817617033, step = 185
 time = 1.676625396798253, step = 186
 time = 1.6856395118348027, step = 187
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 time = 1.7216959719810014, step = 191
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 time = 1.7487383170906505, step = 194
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 time = 1.76676654716375, step = 196
 time = 1.7757806622002996, step = 197
 time = 1.7847947772368493, step = 198

 time = 1.793808892273399, step = 199

 Krylowstep = 10

 time = 0.009014115036549765, step = 1
 time = 0.01802823007309953, step = 2
 time = 0.027042345109649292, step = 3
 time = 0.03605646014619906, step = 4
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 time = 0.09915526540204742, step = 11
 time = 0.10816938043859718, step = 12
 time = 0.11718349547514695, step = 13
 time = 0.1261976105116967, step = 14
 time = 0.13521172554824645, step = 15
 time = 0.1442258405847962, step = 16

 time = 0.15323995562134596, step = 17
 time = 0.1622540706578957, step = 18
 time = 0.17126818569444546, step = 19
 time = 0.18028230073099522, step = 20
 time = 0.18929641576754497, step = 21
 time = 0.19831053080409472, step = 22
 time = 0.20732464584064447, step = 23
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 time = 0.23436699095029373, step = 26
 time = 0.24338110598684348, step = 27
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 time = 0.297465796206142, step = 33
 time = 0.30647991124269175, step = 34
 time = 0.3154940262792415, step = 35

 time = 0.32450814131579125, step = 36

 time = 0.333522256352341, step = 37
 time = 0.34253637138889076, step = 38
 time = 0.3515504864254405, step = 39
 time = 0.36056460146199026, step = 40
 time = 0.36957871649854, step = 41
 time = 0.37859283153508977, step = 42
 time = 0.3876069465716395, step = 43
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 time = 0.44169163679093804, step = 49
 time = 0.4507057518274878, step = 50
 time = 0.45971986686403754, step = 51
 time = 0.4687339819005873, step = 52
 time = 0.47774809693713705, step = 53

 time = 0.4867622119736868, step = 54
 time = 0.49577632701023655, step = 55
 time = 0.5047904420467864, step = 56
 time = 0.5138045570833362, step = 57
 time = 0.522818672119886, step = 58
 time = 0.5318327871564358, step = 59
 time = 0.5408469021929856, step = 60
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 time = 0.6400021675950335, step = 71
 time = 0.6490162826315833, step = 72
 time = 0.6580303976681331, step = 73
 time = 0.6670445127046829, step = 74
 time = 0.6760586277412327, step = 75
 time = 0.6850727427777825, step = 76
 time = 0.6940868578143323, step = 77
 time = 0.7031009728508821, step = 78
 time = 0.7121150878874319, step = 79
 time = 0.7211292029239817, step = 80
 time = 0.7301433179605316, step = 81
 time = 0.7391574329970814, step = 82

 time = 0.7481715480336312, step = 83
 time = 0.757185663070181, step = 84
 time = 0.7661997781067308, step = 85
 time = 0.7752138931432806, step = 86
 time = 0.7842280081798304, step = 87
 time = 0.7932421232163802, step = 88
 time = 0.80225623825293, step = 89
 time = 0.8112703532894798, step = 90
 time = 0.8202844683260296, step = 91
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 time = 0.8383126983991293, step = 93
 time = 0.8473268134356791, step = 94
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 time = 0.8653550435087787, step = 96
 time = 0.8743691585453285, step = 97
 time = 0.8833832735818783, step = 98

 time = 0.8923973886184281, step = 99
 time = 0.9014115036549779, step = 100
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 time = 0.9645103089108266, step = 107
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 time = 0.991552654020476, step = 110
 time = 1.0005667690570257, step = 111
 time = 1.0095808840935754, step = 112
 time = 1.018594999130125, step = 113
 time = 1.0276091141666748, step = 114
 time = 1.0366232292032245, step = 115
 time = 1.0456373442397742, step = 116
 time = 1.0546514592763239, step = 117
 time = 1.0636655743128736, step = 118
 time = 1.0726796893494233, step = 119
 time = 1.081693804385973, step = 120
 time = 1.0907079194225227, step = 121
 time = 1.0997220344590724, step = 122
 time = 1.108736149495622, step = 123
 time = 1.1177502645321717, step = 124
 time = 1.1267643795687214, step = 125
 time = 1.1357784946052711, step = 126

 time = 1.1447926096418208, step = 127
 time = 1.1538067246783705, step = 128
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 time = 1.17183495475147, step = 130
 time = 1.1808490697880196, step = 131
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 time = 1.198877299861119, step = 133
 time = 1.2078914148976687, step = 134
 time = 1.2169055299342184, step = 135
 time = 1.225919644970768, step = 136
 time = 1.2349337600073178, step = 137
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 time = 1.2529619900804172, step = 139
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 time = 1.2709902201535166, step = 141
 time = 1.2800043351900663, step = 142
 time = 1.289018450226616, step = 143
 time = 1.2980325652631657, step = 144
 time = 1.3070466802997154, step = 145

 time = 1.316060795336265, step = 146
 time = 1.3250749103728148, step = 147
 time = 1.3340890254093645, step = 148
 time = 1.3431031404459142, step = 149
 time = 1.3521172554824639, step = 150
 time = 1.3611313705190136, step = 151
 time = 1.3701454855555633, step = 152
 time = 1.379159600592113, step = 153
 time = 1.3881737156286627, step = 154
 time = 1.3971878306652123, step = 155
 time = 1.406201945701762, step = 156
 time = 1.4152160607383117, step = 157
 time = 1.4242301757748614, step = 158
 time = 1.4332442908114111, step = 159
 time = 1.4422584058479608, step = 160
 time = 1.4512725208845105, step = 161
 time = 1.4602866359210602, step = 162
 time = 1.46930075095761, step = 163
 time = 1.4783148659941596, step = 164
 time = 1.4873289810307093, step = 165
 time = 1.496343096067259, step = 166
 time = 1.5053572111038087, step = 167
 time = 1.5143713261403584, step = 168
 time = 1.523385441176908, step = 169
 time = 1.5323995562134578, step = 170
 time = 1.5414136712500075, step = 171
 time = 1.5504277862865572, step = 172
 time = 1.559441901323107, step = 173

 time = 1.5684560163596566, step = 174
 time = 1.5774701313962063, step = 175
 time = 1.586484246432756, step = 176
 time = 1.5954983614693057, step = 177
 time = 1.6045124765058554, step = 178
 time = 1.613526591542405, step = 179
 time = 1.6225407065789548, step = 180
 time = 1.6315548216155045, step = 181
 time = 1.6405689366520542, step = 182
 time = 1.6495830516886039, step = 183
 time = 1.6585971667251536, step = 184
 time = 1.6676112817617033, step = 185
 time = 1.676625396798253, step = 186
 time = 1.6856395118348027, step = 187
 time = 1.6946536268713523, step = 188
 time = 1.703667741907902, step = 189
 time = 1.7126818569444517, step = 190

 time = 1.7216959719810014, step = 191
 time = 1.7307100870175511, step = 192
 time = 1.7397242020541008, step = 193
 time = 1.7487383170906505, step = 194
 time = 1.7577524321272002, step = 195
 time = 1.76676654716375, step = 196
 time = 1.7757806622002996, step = 197
 time = 1.7847947772368493, step = 198
 time = 1.793808892273399, step = 199
 Krylowstep = 11

 time = 0.009014115036549765, step = 1
 time = 0.01802823007309953, step = 2
 time = 0.027042345109649292, step = 3
 time = 0.03605646014619906, step = 4
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 time = 0.06309880525584835, step = 7
 time = 0.07211292029239812, step = 8
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 time = 0.09915526540204742, step = 11
 time = 0.10816938043859718, step = 12
 time = 0.11718349547514695, step = 13
 time = 0.1261976105116967, step = 14
 time = 0.13521172554824645, step = 15
 time = 0.1442258405847962, step = 16
 time = 0.15323995562134596, step = 17
 time = 0.1622540706578957, step = 18
 time = 0.17126818569444546, step = 19

 time = 0.18028230073099522, step = 20
 time = 0.18929641576754497, step = 21
 time = 0.19831053080409472, step = 22
 time = 0.20732464584064447, step = 23
 time = 0.21633876087719422, step = 24
 time = 0.22535287591374398, step = 25
 time = 0.23436699095029373, step = 26
 time = 0.24338110598684348, step = 27
 time = 0.25239522102339323, step = 28
 time = 0.261409336059943, step = 29
 time = 0.27042345109649274, step = 30
 time = 0.2794375661330425, step = 31
 time = 0.28845168116959224, step = 32
 time = 0.297465796206142, step = 33
 time = 0.30647991124269175, step = 34
 time = 0.3154940262792415, step = 35

 time = 0.32450814131579125, step = 36
 time = 0.333522256352341, step = 37
 time = 0.34253637138889076, step = 38
 time = 0.3515504864254405, step = 39
 time = 0.36056460146199026, step = 40
 time = 0.36957871649854, step = 41
 time = 0.37859283153508977, step = 42
 time = 0.3876069465716395, step = 43
 time = 0.3966210616081893, step = 44
 time = 0.405635176644739, step = 45
 time = 0.4146492916812888, step = 46
 time = 0.42366340671783853, step = 47
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 time = 0.44169163679093804, step = 49
 time = 0.4507057518274878, step = 50
 time = 0.45971986686403754, step = 51
 time = 0.4687339819005873, step = 52
 time = 0.47774809693713705, step = 53
 time = 0.4867622119736868, step = 54
 time = 0.49577632701023655, step = 55
 time = 0.5047904420467864, step = 56
 time = 0.5138045570833362, step = 57

 time = 0.522818672119886, step = 58
 time = 0.5318327871564358, step = 59
 time = 0.5408469021929856, step = 60
 time = 0.5498610172295354, step = 61
 time = 0.5588751322660852, step = 62
 time = 0.567889247302635, step = 63
 time = 0.5769033623391848, step = 64
 time = 0.5859174773757346, step = 65
 time = 0.5949315924122844, step = 66
 time = 0.6039457074488342, step = 67
 time = 0.612959822485384, step = 68
 time = 0.6219739375219339, step = 69

 time = 0.6309880525584837, step = 70
 time = 0.6400021675950335, step = 71
 time = 0.6490162826315833, step = 72
 time = 0.6580303976681331, step = 73
 time = 0.6670445127046829, step = 74
 time = 0.6760586277412327, step = 75
 time = 0.6850727427777825, step = 76
 time = 0.6940868578143323, step = 77
 time = 0.7031009728508821, step = 78
 time = 0.7121150878874319, step = 79
 time = 0.7211292029239817, step = 80
 time = 0.7301433179605316, step = 81
 time = 0.7391574329970814, step = 82
 time = 0.7481715480336312, step = 83
 time = 0.757185663070181, step = 84
 time = 0.7661997781067308, step = 85
 time = 0.7752138931432806, step = 86
 time = 0.7842280081798304, step = 87
 time = 0.7932421232163802, step = 88
 time = 0.80225623825293, step = 89
 time = 0.8112703532894798, step = 90
 time = 0.8202844683260296, step = 91
 time = 0.8292985833625794, step = 92
 time = 0.8383126983991293, step = 93
 time = 0.8473268134356791, step = 94

 time = 0.8563409284722289, step = 95
 time = 0.8653550435087787, step = 96
 time = 0.8743691585453285, step = 97
 time = 0.8833832735818783, step = 98
 time = 0.8923973886184281, step = 99
 time = 0.9014115036549779, step = 100
 time = 0.9104256186915277, step = 101
 time = 0.9194397337280775, step = 102
 time = 0.9284538487646273, step = 103
 time = 0.9374679638011771, step = 104
 time = 0.946482078837727, step = 105
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 time = 0.9735244239473764, step = 108
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 time = 1.3070466802997154, step = 145
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 time = 1.5323995562134578, step = 170
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 time = 1.6315548216155045, step = 181
 time = 1.6405689366520542, step = 182

 time = 1.6495830516886039, step = 183
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 time = 1.7847947772368493, step = 198
 time = 1.793808892273399, step = 199
 Krylowstep = 12

 time = 0.009014115036549765, step = 1
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 time = 0.405635176644739, step = 45
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 time = 0.7752138931432806, step = 86

 time = 0.7842280081798304, step = 87
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 time = 1.1447926096418208, step = 127
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 time = 1.261976105116967, step = 140
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 time = 1.523385441176908, step = 169
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 time = 1.6225407065789548, step = 180

 time = 1.6315548216155045, step = 181
 time = 1.6405689366520542, step = 182
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 time = 1.6676112817617033, step = 185
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 time = 1.7757806622002996, step = 197
 time = 1.7847947772368493, step = 198
 time = 1.793808892273399, step = 199
 Krylowstep = 13

 time = 0.009014115036549765, step = 1
 time = 0.01802823007309953, step = 2
 time = 0.027042345109649292, step = 3
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 time = 0.1622540706578957, step = 18
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 time = 1.3881737156286627, step = 154

 time = 1.3971878306652123, step = 155
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 time = 1.613526591542405, step = 179

 time = 1.6225407065789548, step = 180
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 time = 1.7126818569444517, step = 190
 time = 1.7216959719810014, step = 191
 time = 1.7307100870175511, step = 192

 time = 1.7397242020541008, step = 193
 time = 1.7487383170906505, step = 194
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 time = 1.7757806622002996, step = 197
 time = 1.7847947772368493, step = 198
 time = 1.793808892273399, step = 199
 Krylowstep = 14

 time = 0.009014115036549765, step = 1
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 time = 0.027042345109649292, step = 3
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 time = 0.1261976105116967, step = 14

 time = 0.13521172554824645, step = 15
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 time = 0.23436699095029373, step = 26
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 time = 0.4687339819005873, step = 52
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 time = 0.5769033623391848, step = 64
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 time = 0.7932421232163802, step = 88
 time = 0.80225623825293, step = 89
 time = 0.8112703532894798, step = 90

 time = 0.8202844683260296, step = 91
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 time = 1.1628208397149202, step = 129
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 time = 1.2800043351900663, step = 142

 time = 1.289018450226616, step = 143
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 time = 1.3521172554824639, step = 150
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 time = 1.5053572111038087, step = 167

 time = 1.5143713261403584, step = 168
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 time = 1.6045124765058554, step = 178
 time = 1.613526591542405, step = 179
 time = 1.6225407065789548, step = 180

 time = 1.6315548216155045, step = 181
 time = 1.6405689366520542, step = 182
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 time = 1.6585971667251536, step = 184
 time = 1.6676112817617033, step = 185
 time = 1.676625396798253, step = 186
 time = 1.6856395118348027, step = 187
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 time = 1.7487383170906505, step = 194
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 time = 1.7757806622002996, step = 197
 time = 1.7847947772368493, step = 198
 time = 1.793808892273399, step = 199
 Krylowstep = 15

 time = 0.009014115036549765, step = 1
 time = 0.01802823007309953, step = 2
 time = 0.027042345109649292, step = 3

 time = 0.03605646014619906, step = 4
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 time = 0.1261976105116967, step = 14
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 time = 0.3515504864254405, step = 39
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 time = 0.4687339819005873, step = 52
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 time = 0.6850727427777825, step = 76

 time = 0.6940868578143323, step = 77
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 time = 1.0456373442397742, step = 116
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 time = 1.17183495475147, step = 130

 time = 1.1808490697880196, step = 131
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 time = 1.3611313705190136, step = 151
 time = 1.3701454855555633, step = 152
 time = 1.379159600592113, step = 153

 time = 1.3881737156286627, step = 154
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 time = 1.5323995562134578, step = 170

 time = 1.5414136712500075, step = 171
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 time = 1.7216959719810014, step = 191
 time = 1.7307100870175511, step = 192

 time = 1.7397242020541008, step = 193
 time = 1.7487383170906505, step = 194
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 time = 1.7757806622002996, step = 197
 time = 1.7847947772368493, step = 198
 time = 1.793808892273399, step = 199
 Krylowstep = 16

 time = 0.009014115036549765, step = 1
 time = 0.01802823007309953, step = 2
 time = 0.027042345109649292, step = 3
 time = 0.03605646014619906, step = 4
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 time = 0.2794375661330425, step = 31
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 time = 0.42366340671783853, step = 47

 time = 0.4326775217543883, step = 48
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 time = 0.6039457074488342, step = 67
 time = 0.612959822485384, step = 68
 time = 0.6219739375219339, step = 69

 time = 0.6309880525584837, step = 70
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 time = 0.6670445127046829, step = 74
 time = 0.6760586277412327, step = 75
 time = 0.6850727427777825, step = 76
 time = 0.6940868578143323, step = 77
 time = 0.7031009728508821, step = 78
 time = 0.7121150878874319, step = 79
 time = 0.7211292029239817, step = 80
 time = 0.7301433179605316, step = 81
 time = 0.7391574329970814, step = 82
 time = 0.7481715480336312, step = 83
 time = 0.757185663070181, step = 84
 time = 0.7661997781067308, step = 85

 time = 0.7752138931432806, step = 86
 time = 0.7842280081798304, step = 87
 time = 0.7932421232163802, step = 88
 time = 0.80225623825293, step = 89
 time = 0.8112703532894798, step = 90
 time = 0.8202844683260296, step = 91
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 time = 0.8473268134356791, step = 94
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 time = 0.991552654020476, step = 110
 time = 1.0005667690570257, step = 111
 time = 1.0095808840935754, step = 112
 time = 1.018594999130125, step = 113

 time = 1.0276091141666748, step = 114
 time = 1.0366232292032245, step = 115
 time = 1.0456373442397742, step = 116
 time = 1.0546514592763239, step = 117
 time = 1.0636655743128736, step = 118
 time = 1.0726796893494233, step = 119
 time = 1.081693804385973, step = 120
 time = 1.0907079194225227, step = 121
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 time = 1.108736149495622, step = 123
 time = 1.1177502645321717, step = 124
 time = 1.1267643795687214, step = 125
 time = 1.1357784946052711, step = 126
 time = 1.1447926096418208, step = 127
 time = 1.1538067246783705, step = 128
 time = 1.1628208397149202, step = 129

 time = 1.17183495475147, step = 130
 time = 1.1808490697880196, step = 131
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 time = 1.198877299861119, step = 133
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 time = 1.2800043351900663, step = 142
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 time = 1.3070466802997154, step = 145
 time = 1.316060795336265, step = 146
 time = 1.3250749103728148, step = 147
 time = 1.3340890254093645, step = 148
 time = 1.3431031404459142, step = 149
 time = 1.3521172554824639, step = 150
 time = 1.3611313705190136, step = 151
 time = 1.3701454855555633, step = 152
 time = 1.379159600592113, step = 153
 time = 1.3881737156286627, step = 154
 time = 1.3971878306652123, step = 155
 time = 1.406201945701762, step = 156
 time = 1.4152160607383117, step = 157
 time = 1.4242301757748614, step = 158
 time = 1.4332442908114111, step = 159

 time = 1.4422584058479608, step = 160
 time = 1.4512725208845105, step = 161
 time = 1.4602866359210602, step = 162
 time = 1.46930075095761, step = 163
 time = 1.4783148659941596, step = 164
 time = 1.4873289810307093, step = 165
 time = 1.496343096067259, step = 166
 time = 1.5053572111038087, step = 167
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 time = 1.523385441176908, step = 169
 time = 1.5323995562134578, step = 170
 time = 1.5414136712500075, step = 171
 time = 1.5504277862865572, step = 172
 time = 1.559441901323107, step = 173
 time = 1.5684560163596566, step = 174
 time = 1.5774701313962063, step = 175
 time = 1.586484246432756, step = 176

 time = 1.5954983614693057, step = 177
 time = 1.6045124765058554, step = 178
 time = 1.613526591542405, step = 179
 time = 1.6225407065789548, step = 180
 time = 1.6315548216155045, step = 181
 time = 1.6405689366520542, step = 182
 time = 1.6495830516886039, step = 183
 time = 1.6585971667251536, step = 184
 time = 1.6676112817617033, step = 185
 time = 1.676625396798253, step = 186
 time = 1.6856395118348027, step = 187
 time = 1.6946536268713523, step = 188
 time = 1.703667741907902, step = 189
 time = 1.7126818569444517, step = 190
 time = 1.7216959719810014, step = 191
 time = 1.7307100870175511, step = 192
 time = 1.7397242020541008, step = 193
 time = 1.7487383170906505, step = 194
 time = 1.7577524321272002, step = 195
 time = 1.76676654716375, step = 196
 time = 1.7757806622002996, step = 197
 time = 1.7847947772368493, step = 198
 time = 1.793808892273399, step = 199
 Krylowstep = 17

 time = 0.009014115036549765, step = 1

 time = 0.01802823007309953, step = 2
 time = 0.027042345109649292, step = 3
 time = 0.03605646014619906, step = 4
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 time = 0.13521172554824645, step = 15
 time = 0.1442258405847962, step = 16
 time = 0.15323995562134596, step = 17
 time = 0.1622540706578957, step = 18

 time = 0.17126818569444546, step = 19
 time = 0.18028230073099522, step = 20
 time = 0.18929641576754497, step = 21
 time = 0.19831053080409472, step = 22
 time = 0.20732464584064447, step = 23
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 time = 0.24338110598684348, step = 27
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 time = 0.27042345109649274, step = 30
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 time = 0.333522256352341, step = 37
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 time = 0.3876069465716395, step = 43
 time = 0.3966210616081893, step = 44
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 time = 0.4146492916812888, step = 46
 time = 0.42366340671783853, step = 47
 time = 0.4326775217543883, step = 48
 time = 0.44169163679093804, step = 49

 time = 0.4507057518274878, step = 50
 time = 0.45971986686403754, step = 51
 time = 0.4687339819005873, step = 52
 time = 0.47774809693713705, step = 53
 time = 0.4867622119736868, step = 54
 time = 0.49577632701023655, step = 55
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 time = 0.5138045570833362, step = 57
 time = 0.522818672119886, step = 58
 time = 0.5318327871564358, step = 59
 time = 0.5408469021929856, step = 60
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 time = 0.567889247302635, step = 63
 time = 0.5769033623391848, step = 64
 time = 0.5859174773757346, step = 65

 time = 0.5949315924122844, step = 66
 time = 0.6039457074488342, step = 67
 time = 0.612959822485384, step = 68
 time = 0.6219739375219339, step = 69
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 time = 0.6400021675950335, step = 71
 time = 0.6490162826315833, step = 72
 time = 0.6580303976681331, step = 73
 time = 0.6670445127046829, step = 74
 time = 0.6760586277412327, step = 75
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 time = 0.7031009728508821, step = 78
 time = 0.7121150878874319, step = 79
 time = 0.7211292029239817, step = 80
 time = 0.7301433179605316, step = 81
 time = 0.7391574329970814, step = 82
 time = 0.7481715480336312, step = 83
 time = 0.757185663070181, step = 84
 time = 0.7661997781067308, step = 85
 time = 0.7752138931432806, step = 86
 time = 0.7842280081798304, step = 87
 time = 0.7932421232163802, step = 88
 time = 0.80225623825293, step = 89
 time = 0.8112703532894798, step = 90
 time = 0.8202844683260296, step = 91
 time = 0.8292985833625794, step = 92
 time = 0.8383126983991293, step = 93
 time = 0.8473268134356791, step = 94

 time = 0.8563409284722289, step = 95
 time = 0.8653550435087787, step = 96
 time = 0.8743691585453285, step = 97
 time = 0.8833832735818783, step = 98
 time = 0.8923973886184281, step = 99
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 time = 0.9374679638011771, step = 104
 time = 0.946482078837727, step = 105
 time = 0.9554961938742768, step = 106
 time = 0.9645103089108266, step = 107
 time = 0.9735244239473764, step = 108
 time = 0.9825385389839262, step = 109

 time = 0.991552654020476, step = 110
 time = 1.0005667690570257, step = 111
 time = 1.0095808840935754, step = 112
 time = 1.018594999130125, step = 113
 time = 1.0276091141666748, step = 114
 time = 1.0366232292032245, step = 115
 time = 1.0456373442397742, step = 116
 time = 1.0546514592763239, step = 117
 time = 1.0636655743128736, step = 118
 time = 1.0726796893494233, step = 119
 time = 1.081693804385973, step = 120
 time = 1.0907079194225227, step = 121
 time = 1.0997220344590724, step = 122
 time = 1.108736149495622, step = 123
 time = 1.1177502645321717, step = 124
 time = 1.1267643795687214, step = 125
 time = 1.1357784946052711, step = 126
 time = 1.1447926096418208, step = 127
 time = 1.1538067246783705, step = 128
 time = 1.1628208397149202, step = 129
 time = 1.17183495475147, step = 130
 time = 1.1808490697880196, step = 131

 time = 1.1898631848245693, step = 132
 time = 1.198877299861119, step = 133
 time = 1.2078914148976687, step = 134
 time = 1.2169055299342184, step = 135
 time = 1.225919644970768, step = 136
 time = 1.2349337600073178, step = 137
 time = 1.2439478750438675, step = 138
 time = 1.2529619900804172, step = 139
 time = 1.261976105116967, step = 140
 time = 1.2709902201535166, step = 141
 time = 1.2800043351900663, step = 142
 time = 1.289018450226616, step = 143

 time = 1.2980325652631657, step = 144
 time = 1.3070466802997154, step = 145
 time = 1.316060795336265, step = 146
 time = 1.3250749103728148, step = 147
 time = 1.3340890254093645, step = 148
 time = 1.3431031404459142, step = 149
 time = 1.3521172554824639, step = 150
 time = 1.3611313705190136, step = 151
 time = 1.3701454855555633, step = 152
 time = 1.379159600592113, step = 153
 time = 1.3881737156286627, step = 154
 time = 1.3971878306652123, step = 155
 time = 1.406201945701762, step = 156
 time = 1.4152160607383117, step = 157
 time = 1.4242301757748614, step = 158
 time = 1.4332442908114111, step = 159
 time = 1.4422584058479608, step = 160
 time = 1.4512725208845105, step = 161
 time = 1.4602866359210602, step = 162
 time = 1.46930075095761, step = 163

 time = 1.4783148659941596, step = 164
 time = 1.4873289810307093, step = 165
 time = 1.496343096067259, step = 166
 time = 1.5053572111038087, step = 167
 time = 1.5143713261403584, step = 168
 time = 1.523385441176908, step = 169
 time = 1.5323995562134578, step = 170
 time = 1.5414136712500075, step = 171
 time = 1.5504277862865572, step = 172
 time = 1.559441901323107, step = 173
 time = 1.5684560163596566, step = 174
 time = 1.5774701313962063, step = 175
 time = 1.586484246432756, step = 176

 time = 1.5954983614693057, step = 177
 time = 1.6045124765058554, step = 178
 time = 1.613526591542405, step = 179
 time = 1.6225407065789548, step = 180
 time = 1.6315548216155045, step = 181
 time = 1.6405689366520542, step = 182
 time = 1.6495830516886039, step = 183
 time = 1.6585971667251536, step = 184
 time = 1.6676112817617033, step = 185
 time = 1.676625396798253, step = 186
 time = 1.6856395118348027, step = 187
 time = 1.6946536268713523, step = 188
 time = 1.703667741907902, step = 189
 time = 1.7126818569444517, step = 190

 time = 1.7216959719810014, step = 191
 time = 1.7307100870175511, step = 192
 time = 1.7397242020541008, step = 193
 time = 1.7487383170906505, step = 194
 time = 1.7577524321272002, step = 195
 time = 1.76676654716375, step = 196
 time = 1.7757806622002996, step = 197
 time = 1.7847947772368493, step = 198
 time = 1.793808892273399, step = 199

 Krylowstep = 18

 time = 0.009014115036549765, step = 1
 time = 0.01802823007309953, step = 2
 time = 0.027042345109649292, step = 3
 time = 0.03605646014619906, step = 4
 time = 0.045070575182748825, step = 5
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 time = 0.06309880525584835, step = 7
 time = 0.07211292029239812, step = 8
 time = 0.08112703532894788, step = 9
 time = 0.09014115036549765, step = 10
 time = 0.09915526540204742, step = 11
 time = 0.10816938043859718, step = 12
 time = 0.11718349547514695, step = 13
 time = 0.1261976105116967, step = 14
 time = 0.13521172554824645, step = 15

 time = 0.1442258405847962, step = 16
 time = 0.15323995562134596, step = 17
 time = 0.1622540706578957, step = 18
 time = 0.17126818569444546, step = 19
 time = 0.18028230073099522, step = 20
 time = 0.18929641576754497, step = 21
 time = 0.19831053080409472, step = 22
 time = 0.20732464584064447, step = 23
 time = 0.21633876087719422, step = 24
 time = 0.22535287591374398, step = 25
 time = 0.23436699095029373, step = 26
 time = 0.24338110598684348, step = 27
 time = 0.25239522102339323, step = 28

 time = 0.261409336059943, step = 29
 time = 0.27042345109649274, step = 30
 time = 0.2794375661330425, step = 31
 time = 0.28845168116959224, step = 32
 time = 0.297465796206142, step = 33
 time = 0.30647991124269175, step = 34
 time = 0.3154940262792415, step = 35
 time = 0.32450814131579125, step = 36
 time = 0.333522256352341, step = 37
 time = 0.34253637138889076, step = 38
 time = 0.3515504864254405, step = 39
 time = 0.36056460146199026, step = 40
 time = 0.36957871649854, step = 41
 time = 0.37859283153508977, step = 42
 time = 0.3876069465716395, step = 43
 time = 0.3966210616081893, step = 44

 time = 0.405635176644739, step = 45
 time = 0.4146492916812888, step = 46
 time = 0.42366340671783853, step = 47
 time = 0.4326775217543883, step = 48
 time = 0.44169163679093804, step = 49
 time = 0.4507057518274878, step = 50
 time = 0.45971986686403754, step = 51
 time = 0.4687339819005873, step = 52
 time = 0.47774809693713705, step = 53
 time = 0.4867622119736868, step = 54
 time = 0.49577632701023655, step = 55
 time = 0.5047904420467864, step = 56
 time = 0.5138045570833362, step = 57
 time = 0.522818672119886, step = 58
 time = 0.5318327871564358, step = 59

 time = 0.5408469021929856, step = 60
 time = 0.5498610172295354, step = 61
 time = 0.5588751322660852, step = 62
 time = 0.567889247302635, step = 63
 time = 0.5769033623391848, step = 64
 time = 0.5859174773757346, step = 65
 time = 0.5949315924122844, step = 66
 time = 0.6039457074488342, step = 67
 time = 0.612959822485384, step = 68
 time = 0.6219739375219339, step = 69
 time = 0.6309880525584837, step = 70
 time = 0.6400021675950335, step = 71
 time = 0.6490162826315833, step = 72
 time = 0.6580303976681331, step = 73
 time = 0.6670445127046829, step = 74
 time = 0.6760586277412327, step = 75
 time = 0.6850727427777825, step = 76

 time = 0.6940868578143323, step = 77
 time = 0.7031009728508821, step = 78
 time = 0.7121150878874319, step = 79
 time = 0.7211292029239817, step = 80
 time = 0.7301433179605316, step = 81
 time = 0.7391574329970814, step = 82
 time = 0.7481715480336312, step = 83
 time = 0.757185663070181, step = 84
 time = 0.7661997781067308, step = 85
 time = 0.7752138931432806, step = 86
 time = 0.7842280081798304, step = 87
 time = 0.7932421232163802, step = 88
 time = 0.80225623825293, step = 89
 time = 0.8112703532894798, step = 90
 time = 0.8202844683260296, step = 91

 time = 0.8292985833625794, step = 92
 time = 0.8383126983991293, step = 93
 time = 0.8473268134356791, step = 94
 time = 0.8563409284722289, step = 95
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 time = 0.8743691585453285, step = 97
 time = 0.8833832735818783, step = 98
 time = 0.8923973886184281, step = 99
 time = 0.9014115036549779, step = 100
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 time = 0.9284538487646273, step = 103
 time = 0.9374679638011771, step = 104
 time = 0.946482078837727, step = 105

 time = 0.9554961938742768, step = 106
 time = 0.9645103089108266, step = 107
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 time = 0.9825385389839262, step = 109
 time = 0.991552654020476, step = 110
 time = 1.0005667690570257, step = 111
 time = 1.0095808840935754, step = 112
 time = 1.018594999130125, step = 113
 time = 1.0276091141666748, step = 114
 time = 1.0366232292032245, step = 115
 time = 1.0456373442397742, step = 116
 time = 1.0546514592763239, step = 117
 time = 1.0636655743128736, step = 118
 time = 1.0726796893494233, step = 119

 time = 1.081693804385973, step = 120
 time = 1.0907079194225227, step = 121
 time = 1.0997220344590724, step = 122
 time = 1.108736149495622, step = 123
 time = 1.1177502645321717, step = 124
 time = 1.1267643795687214, step = 125
 time = 1.1357784946052711, step = 126
 time = 1.1447926096418208, step = 127
 time = 1.1538067246783705, step = 128
 time = 1.1628208397149202, step = 129
 time = 1.17183495475147, step = 130
 time = 1.1808490697880196, step = 131
 time = 1.1898631848245693, step = 132
 time = 1.198877299861119, step = 133
 time = 1.2078914148976687, step = 134
 time = 1.2169055299342184, step = 135

 time = 1.225919644970768, step = 136
 time = 1.2349337600073178, step = 137
 time = 1.2439478750438675, step = 138
 time = 1.2529619900804172, step = 139
 time = 1.261976105116967, step = 140
 time = 1.2709902201535166, step = 141
 time = 1.2800043351900663, step = 142
 time = 1.289018450226616, step = 143
 time = 1.2980325652631657, step = 144
 time = 1.3070466802997154, step = 145
 time = 1.316060795336265, step = 146
 time = 1.3250749103728148, step = 147
 time = 1.3340890254093645, step = 148
 time = 1.3431031404459142, step = 149
 time = 1.3521172554824639, step = 150

 time = 1.3611313705190136, step = 151
 time = 1.3701454855555633, step = 152
 time = 1.379159600592113, step = 153
 time = 1.3881737156286627, step = 154
 time = 1.3971878306652123, step = 155
 time = 1.406201945701762, step = 156
 time = 1.4152160607383117, step = 157
 time = 1.4242301757748614, step = 158
 time = 1.4332442908114111, step = 159
 time = 1.4422584058479608, step = 160
 time = 1.4512725208845105, step = 161
 time = 1.4602866359210602, step = 162
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 time = 1.4873289810307093, step = 165

 time = 1.496343096067259, step = 166
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 time = 1.6315548216155045, step = 181
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 time = 1.7757806622002996, step = 197
 time = 1.7847947772368493, step = 198
 time = 1.793808892273399, step = 199
 Krylowstep = 19

 time = 0.009014115036549765, step = 1
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 time = 0.24338110598684348, step = 27
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 time = 0.3876069465716395, step = 43
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 time = 0.522818672119886, step = 58
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 time = 0.6670445127046829, step = 74
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 time = 0.7481715480336312, step = 83
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 time = 1.3611313705190136, step = 151

 time = 1.3701454855555633, step = 152
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 time = 1.4783148659941596, step = 164
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 time = 1.6315548216155045, step = 181

 time = 1.6405689366520542, step = 182
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 time = 1.7577524321272002, step = 195
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 time = 1.7757806622002996, step = 197
 time = 1.7847947772368493, step = 198
 time = 1.793808892273399, step = 199
 Krylowstep = 20

 time = 0.009014115036549765, step = 1
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 time = 0.09915526540204742, step = 11
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 time = 0.20732464584064447, step = 23
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 time = 0.3966210616081893, step = 44
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 time = 0.49577632701023655, step = 55
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 time = 0.6670445127046829, step = 74
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 time = 0.7752138931432806, step = 86
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 time = 1.0546514592763239, step = 117
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 time = 1.3431031404459142, step = 149
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 time = 1.4873289810307093, step = 165
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 time = 1.5954983614693057, step = 177
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 time = 1.613526591542405, step = 179

 time = 1.6225407065789548, step = 180
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 time = 1.7487383170906505, step = 194
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 time = 1.76676654716375, step = 196
 time = 1.7757806622002996, step = 197
 time = 1.7847947772368493, step = 198
 time = 1.793808892273399, step = 199
 Krylowstep = 21

 time = 0.009014115036549765, step = 1
 time = 0.01802823007309953, step = 2
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 time = 0.3515504864254405, step = 39

 time = 0.36056460146199026, step = 40
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 time = 1.793808892273399, step = 199
 Krylowstep = 22

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 time = 1.406201945701762, step = 156
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 time = 1.5774701313962063, step = 175
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 time = 1.703667741907902, step = 189
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 time = 1.7757806622002996, step = 197
 time = 1.7847947772368493, step = 198
 time = 1.793808892273399, step = 199
 Krylowstep = 23

 time = 0.009014115036549765, step = 1
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 time = 1.1808490697880196, step = 131
 time = 1.1898631848245693, step = 132
 time = 1.198877299861119, step = 133
 time = 1.2078914148976687, step = 134
 time = 1.2169055299342184, step = 135
 time = 1.225919644970768, step = 136

 time = 1.2349337600073178, step = 137
 time = 1.2439478750438675, step = 138
 time = 1.2529619900804172, step = 139
 time = 1.261976105116967, step = 140
 time = 1.2709902201535166, step = 141
 time = 1.2800043351900663, step = 142
 time = 1.289018450226616, step = 143
 time = 1.2980325652631657, step = 144
 time = 1.3070466802997154, step = 145
 time = 1.316060795336265, step = 146
 time = 1.3250749103728148, step = 147
 time = 1.3340890254093645, step = 148

 time = 1.3431031404459142, step = 149
 time = 1.3521172554824639, step = 150
 time = 1.3611313705190136, step = 151
 time = 1.3701454855555633, step = 152
 time = 1.379159600592113, step = 153
 time = 1.3881737156286627, step = 154
 time = 1.3971878306652123, step = 155
 time = 1.406201945701762, step = 156
 time = 1.4152160607383117, step = 157
 time = 1.4242301757748614, step = 158
 time = 1.4332442908114111, step = 159
 time = 1.4422584058479608, step = 160
 time = 1.4512725208845105, step = 161
 time = 1.4602866359210602, step = 162
 time = 1.46930075095761, step = 163

 time = 1.4783148659941596, step = 164
 time = 1.4873289810307093, step = 165
 time = 1.496343096067259, step = 166
 time = 1.5053572111038087, step = 167
 time = 1.5143713261403584, step = 168
 time = 1.523385441176908, step = 169
 time = 1.5323995562134578, step = 170
 time = 1.5414136712500075, step = 171
 time = 1.5504277862865572, step = 172
 time = 1.559441901323107, step = 173
 time = 1.5684560163596566, step = 174
 time = 1.5774701313962063, step = 175
 time = 1.586484246432756, step = 176
 time = 1.5954983614693057, step = 177
 time = 1.6045124765058554, step = 178
 time = 1.613526591542405, step = 179

 time = 1.6225407065789548, step = 180
 time = 1.6315548216155045, step = 181
 time = 1.6405689366520542, step = 182
 time = 1.6495830516886039, step = 183
 time = 1.6585971667251536, step = 184
 time = 1.6676112817617033, step = 185
 time = 1.676625396798253, step = 186
 time = 1.6856395118348027, step = 187
 time = 1.6946536268713523, step = 188
 time = 1.703667741907902, step = 189
 time = 1.7126818569444517, step = 190
 time = 1.7216959719810014, step = 191
 time = 1.7307100870175511, step = 192
 time = 1.7397242020541008, step = 193
 time = 1.7487383170906505, step = 194

 time = 1.7577524321272002, step = 195
 time = 1.76676654716375, step = 196
 time = 1.7757806622002996, step = 197
 time = 1.7847947772368493, step = 198
 time = 1.793808892273399, step = 199
 Krylowstep = 24

 time = 0.009014115036549765, step = 1
 time = 0.01802823007309953, step = 2
 time = 0.027042345109649292, step = 3
 time = 0.03605646014619906, step = 4
 time = 0.045070575182748825, step = 5
 time = 0.05408469021929859, step = 6
 time = 0.06309880525584835, step = 7

 time = 0.07211292029239812, step = 8
 time = 0.08112703532894788, step = 9
 time = 0.09014115036549765, step = 10
 time = 0.09915526540204742, step = 11
 time = 0.10816938043859718, step = 12
 time = 0.11718349547514695, step = 13
 time = 0.1261976105116967, step = 14
 time = 0.13521172554824645, step = 15
 time = 0.1442258405847962, step = 16
 time = 0.15323995562134596, step = 17
 time = 0.1622540706578957, step = 18
 time = 0.17126818569444546, step = 19
 time = 0.18028230073099522, step = 20
 time = 0.18929641576754497, step = 21
 time = 0.19831053080409472, step = 22
 time = 0.20732464584064447, step = 23
 time = 0.21633876087719422, step = 24

 time = 0.22535287591374398, step = 25
 time = 0.23436699095029373, step = 26
 time = 0.24338110598684348, step = 27
 time = 0.25239522102339323, step = 28
 time = 0.261409336059943, step = 29
 time = 0.27042345109649274, step = 30
 time = 0.2794375661330425, step = 31
 time = 0.28845168116959224, step = 32
 time = 0.297465796206142, step = 33
 time = 0.30647991124269175, step = 34
 time = 0.3154940262792415, step = 35
 time = 0.32450814131579125, step = 36
 time = 0.333522256352341, step = 37
 time = 0.34253637138889076, step = 38
 time = 0.3515504864254405, step = 39

 time = 0.36056460146199026, step = 40
 time = 0.36957871649854, step = 41
 time = 0.37859283153508977, step = 42
 time = 0.3876069465716395, step = 43
 time = 0.3966210616081893, step = 44
 time = 0.405635176644739, step = 45
 time = 0.4146492916812888, step = 46
 time = 0.42366340671783853, step = 47
 time = 0.4326775217543883, step = 48
 time = 0.44169163679093804, step = 49
 time = 0.4507057518274878, step = 50
 time = 0.45971986686403754, step = 51
 time = 0.4687339819005873, step = 52
 time = 0.47774809693713705, step = 53
 time = 0.4867622119736868, step = 54
 time = 0.49577632701023655, step = 55

 time = 0.5047904420467864, step = 56
 time = 0.5138045570833362, step = 57
 time = 0.522818672119886, step = 58
 time = 0.5318327871564358, step = 59
 time = 0.5408469021929856, step = 60
 time = 0.5498610172295354, step = 61
 time = 0.5588751322660852, step = 62
 time = 0.567889247302635, step = 63
 time = 0.5769033623391848, step = 64
 time = 0.5859174773757346, step = 65
 time = 0.5949315924122844, step = 66
 time = 0.6039457074488342, step = 67
 time = 0.612959822485384, step = 68
 time = 0.6219739375219339, step = 69
 time = 0.6309880525584837, step = 70

 time = 0.6400021675950335, step = 71
 time = 0.6490162826315833, step = 72
 time = 0.6580303976681331, step = 73
 time = 0.6670445127046829, step = 74
 time = 0.6760586277412327, step = 75
 time = 0.6850727427777825, step = 76
 time = 0.6940868578143323, step = 77
 time = 0.7031009728508821, step = 78
 time = 0.7121150878874319, step = 79
 time = 0.7211292029239817, step = 80
 time = 0.7301433179605316, step = 81
 time = 0.7391574329970814, step = 82
 time = 0.7481715480336312, step = 83

 time = 0.757185663070181, step = 84
 time = 0.7661997781067308, step = 85
 time = 0.7752138931432806, step = 86
 time = 0.7842280081798304, step = 87
 time = 0.7932421232163802, step = 88
 time = 0.80225623825293, step = 89
 time = 0.8112703532894798, step = 90
 time = 0.8202844683260296, step = 91
 time = 0.8292985833625794, step = 92
 time = 0.8383126983991293, step = 93
 time = 0.8473268134356791, step = 94
 time = 0.8563409284722289, step = 95
 time = 0.8653550435087787, step = 96
 time = 0.8743691585453285, step = 97
 time = 0.8833832735818783, step = 98

 time = 0.8923973886184281, step = 99
 time = 0.9014115036549779, step = 100
 time = 0.9104256186915277, step = 101
 time = 0.9194397337280775, step = 102
 time = 0.9284538487646273, step = 103
 time = 0.9374679638011771, step = 104
 time = 0.946482078837727, step = 105
 time = 0.9554961938742768, step = 106
 time = 0.9645103089108266, step = 107
 time = 0.9735244239473764, step = 108
 time = 0.9825385389839262, step = 109
 time = 0.991552654020476, step = 110
 time = 1.0005667690570257, step = 111
 time = 1.0095808840935754, step = 112
 time = 1.018594999130125, step = 113
 time = 1.0276091141666748, step = 114
 time = 1.0366232292032245, step = 115
 time = 1.0456373442397742, step = 116

 time = 1.0546514592763239, step = 117
 time = 1.0636655743128736, step = 118
 time = 1.0726796893494233, step = 119
 time = 1.081693804385973, step = 120
 time = 1.0907079194225227, step = 121
 time = 1.0997220344590724, step = 122
 time = 1.108736149495622, step = 123
 time = 1.1177502645321717, step = 124
 time = 1.1267643795687214, step = 125
 time = 1.1357784946052711, step = 126
 time = 1.1447926096418208, step = 127
 time = 1.1538067246783705, step = 128
 time = 1.1628208397149202, step = 129
 time = 1.17183495475147, step = 130
 time = 1.1808490697880196, step = 131

 time = 1.1898631848245693, step = 132
 time = 1.198877299861119, step = 133
 time = 1.2078914148976687, step = 134
 time = 1.2169055299342184, step = 135
 time = 1.225919644970768, step = 136
 time = 1.2349337600073178, step = 137
 time = 1.2439478750438675, step = 138
 time = 1.2529619900804172, step = 139
 time = 1.261976105116967, step = 140
 time = 1.2709902201535166, step = 141
 time = 1.2800043351900663, step = 142
 time = 1.289018450226616, step = 143
 time = 1.2980325652631657, step = 144
 time = 1.3070466802997154, step = 145
 time = 1.316060795336265, step = 146
 time = 1.3250749103728148, step = 147
 time = 1.3340890254093645, step = 148
 time = 1.3431031404459142, step = 149
 time = 1.3521172554824639, step = 150

 time = 1.3611313705190136, step = 151
 time = 1.3701454855555633, step = 152
 time = 1.379159600592113, step = 153
 time = 1.3881737156286627, step = 154
 time = 1.3971878306652123, step = 155
 time = 1.406201945701762, step = 156
 time = 1.4152160607383117, step = 157
 time = 1.4242301757748614, step = 158
 time = 1.4332442908114111, step = 159
 time = 1.4422584058479608, step = 160
 time = 1.4512725208845105, step = 161
 time = 1.4602866359210602, step = 162
 time = 1.46930075095761, step = 163
 time = 1.4783148659941596, step = 164

 time = 1.4873289810307093, step = 165
 time = 1.496343096067259, step = 166
 time = 1.5053572111038087, step = 167
 time = 1.5143713261403584, step = 168
 time = 1.523385441176908, step = 169
 time = 1.5323995562134578, step = 170
 time = 1.5414136712500075, step = 171
 time = 1.5504277862865572, step = 172
 time = 1.559441901323107, step = 173
 time = 1.5684560163596566, step = 174
 time = 1.5774701313962063, step = 175
 time = 1.586484246432756, step = 176
 time = 1.5954983614693057, step = 177
 time = 1.6045124765058554, step = 178
 time = 1.613526591542405, step = 179
 time = 1.6225407065789548, step = 180
 time = 1.6315548216155045, step = 181
 time = 1.6405689366520542, step = 182

 time = 1.6495830516886039, step = 183
 time = 1.6585971667251536, step = 184
 time = 1.6676112817617033, step = 185
 time = 1.676625396798253, step = 186
 time = 1.6856395118348027, step = 187
 time = 1.6946536268713523, step = 188
 time = 1.703667741907902, step = 189
 time = 1.7126818569444517, step = 190
 time = 1.7216959719810014, step = 191
 time = 1.7307100870175511, step = 192
 time = 1.7397242020541008, step = 193
 time = 1.7487383170906505, step = 194
 time = 1.7577524321272002, step = 195

 time = 1.76676654716375, step = 196
 time = 1.7757806622002996, step = 197
 time = 1.7847947772368493, step = 198
 time = 1.793808892273399, step = 199

eigf = (vecs*Matrix(v.real)).Evaluate()

gfu = GridFunction(fes)

for i in range(1,5):
    gfu.vec.data = eigf[i]
    Draw(gfu)
Contents